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Finding the Fourth Proportional to 532.01, 797.54 and 207.15

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Solution

The fourth proportional to 532.01, 797.54 and 207.15 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.01 : 797.54 = 207.15 : x
  2. Step 2: Convert to fraction form
    532.01/797.54 = 207.15/x
  3. Step 3: Cross multiply
    532.01x = 797.54 × 207.15
  4. Step 4: Simplify right side
    532.01x = 165,209.38
  5. Step 5: Solve for x
    x = 165,209.38/532.01
  6. Step 6: Final answer
    x = 310.54

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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.