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Finding the Fourth Proportional to 509.27, 702.34 and 332.17

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Solution

The fourth proportional to 509.27, 702.34 and 332.17 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 702.34 = 332.17 : x
  2. Step 2: Convert to fraction form
    509.27/702.34 = 332.17/x
  3. Step 3: Cross multiply
    509.27x = 702.34 × 332.17
  4. Step 4: Simplify right side
    509.27x = 233,293.69
  5. Step 5: Solve for x
    x = 233,293.69/509.27
  6. Step 6: Final answer
    x = 458.10

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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.