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Finding the Fourth Proportional to 534.02, 737.24 and 428.90

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Solution

The fourth proportional to 534.02, 737.24 and 428.90 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 737.24 = 428.90 : x
  2. Step 2: Convert to fraction form
    534.02/737.24 = 428.90/x
  3. Step 3: Cross multiply
    534.02x = 737.24 × 428.90
  4. Step 4: Simplify right side
    534.02x = 316,202.24
  5. Step 5: Solve for x
    x = 316,202.24/534.02
  6. Step 6: Final answer
    x = 592.12

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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.