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Finding the Fourth Proportional to 617.20, 916.24 and 591.28

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Solution

The fourth proportional to 617.20, 916.24 and 591.28 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 916.24 = 591.28 : x
  2. Step 2: Convert to fraction form
    617.20/916.24 = 591.28/x
  3. Step 3: Cross multiply
    617.20x = 916.24 × 591.28
  4. Step 4: Simplify right side
    617.20x = 541,754.39
  5. Step 5: Solve for x
    x = 541,754.39/617.20
  6. Step 6: Final answer
    x = 877.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.