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Finding the Fourth Proportional to 532.61, 797.21 and 285.20

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Solution

The fourth proportional to 532.61, 797.21 and 285.20 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.61 : 797.21 = 285.20 : x
  2. Step 2: Convert to fraction form
    532.61/797.21 = 285.20/x
  3. Step 3: Cross multiply
    532.61x = 797.21 × 285.20
  4. Step 4: Simplify right side
    532.61x = 227,362.94
  5. Step 5: Solve for x
    x = 227,362.94/532.61
  6. Step 6: Final answer
    x = 426.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.