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Finding the Fourth Proportional to 596.19, 894.64 and 254.19

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Solution

The fourth proportional to 596.19, 894.64 and 254.19 is: 381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.19 : 894.64 = 254.19 : x
  2. Step 2: Convert to fraction form
    596.19/894.64 = 254.19/x
  3. Step 3: Cross multiply
    596.19x = 894.64 × 254.19
  4. Step 4: Simplify right side
    596.19x = 227,408.54
  5. Step 5: Solve for x
    x = 227,408.54/596.19
  6. Step 6: Final answer
    x = 381.44

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Double scale
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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.