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Finding the Fourth Proportional to 532.62, 737.46 and 522.90

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Solution

The fourth proportional to 532.62, 737.46 and 522.90 is: 724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 737.46 = 522.90 : x
  2. Step 2: Convert to fraction form
    532.62/737.46 = 522.90/x
  3. Step 3: Cross multiply
    532.62x = 737.46 × 522.90
  4. Step 4: Simplify right side
    532.62x = 385,617.83
  5. Step 5: Solve for x
    x = 385,617.83/532.62
  6. Step 6: Final answer
    x = 724.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.