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Finding the Fourth Proportional to 717.32, 1,076 and 306.38

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Solution

The fourth proportional to 717.32, 1,076 and 306.38 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.32 : 1,076 = 306.38 : x
  2. Step 2: Convert to fraction form
    717.32/1,076 = 306.38/x
  3. Step 3: Cross multiply
    717.32x = 1,076 × 306.38
  4. Step 4: Simplify right side
    717.32x = 329,664.88
  5. Step 5: Solve for x
    x = 329,664.88/717.32
  6. Step 6: Final answer
    x = 459.58

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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.