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Finding the Fourth Proportional to 617.52, 925.57 and 386.47

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Solution

The fourth proportional to 617.52, 925.57 and 386.47 is: 579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 925.57 = 386.47 : x
  2. Step 2: Convert to fraction form
    617.52/925.57 = 386.47/x
  3. Step 3: Cross multiply
    617.52x = 925.57 × 386.47
  4. Step 4: Simplify right side
    617.52x = 357,705.04
  5. Step 5: Solve for x
    x = 357,705.04/617.52
  6. Step 6: Final answer
    x = 579.26

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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.