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Finding the Fourth Proportional to 596.16, 894.23 and 254.16

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Solution

The fourth proportional to 596.16, 894.23 and 254.16 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 894.23 = 254.16 : x
  2. Step 2: Convert to fraction form
    596.16/894.23 = 254.16/x
  3. Step 3: Cross multiply
    596.16x = 894.23 × 254.16
  4. Step 4: Simplify right side
    596.16x = 227,278.13
  5. Step 5: Solve for x
    x = 227,278.13/596.16
  6. Step 6: Final answer
    x = 381.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 597.16, 895.73 and 255.16
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.