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Finding the Fourth Proportional to 617.82, 925.71 and 480.52

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Solution

The fourth proportional to 617.82, 925.71 and 480.52 is: 719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 925.71 = 480.52 : x
  2. Step 2: Convert to fraction form
    617.82/925.71 = 480.52/x
  3. Step 3: Cross multiply
    617.82x = 925.71 × 480.52
  4. Step 4: Simplify right side
    617.82x = 444,822.17
  5. Step 5: Solve for x
    x = 444,822.17/617.82
  6. Step 6: Final answer
    x = 719.99

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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.