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Finding the Fourth Proportional to 532.71, 735.16 and 311.66

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Solution

The fourth proportional to 532.71, 735.16 and 311.66 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.71 : 735.16 = 311.66 : x
  2. Step 2: Convert to fraction form
    532.71/735.16 = 311.66/x
  3. Step 3: Cross multiply
    532.71x = 735.16 × 311.66
  4. Step 4: Simplify right side
    532.71x = 229,119.97
  5. Step 5: Solve for x
    x = 229,119.97/532.71
  6. Step 6: Final answer
    x = 430.10

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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.