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Finding the Fourth Proportional to 596.53, 894.80 and 185.66

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Solution

The fourth proportional to 596.53, 894.80 and 185.66 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.53 : 894.80 = 185.66 : x
  2. Step 2: Convert to fraction form
    596.53/894.80 = 185.66/x
  3. Step 3: Cross multiply
    596.53x = 894.80 × 185.66
  4. Step 4: Simplify right side
    596.53x = 166,127.64
  5. Step 5: Solve for x
    x = 166,127.64/596.53
  6. Step 6: Final answer
    x = 278.49

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Double scale
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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.