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Finding the Fourth Proportional to 596.96, 889.49 and 532.30

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Solution

The fourth proportional to 596.96, 889.49 and 532.30 is: 793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.96 : 889.49 = 532.30 : x
  2. Step 2: Convert to fraction form
    596.96/889.49 = 532.30/x
  3. Step 3: Cross multiply
    596.96x = 889.49 × 532.30
  4. Step 4: Simplify right side
    596.96x = 473,475.53
  5. Step 5: Solve for x
    x = 473,475.53/596.96
  6. Step 6: Final answer
    x = 793.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.