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Finding the Fourth Proportional to 617.42, 925.10 and 270.22

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Solution

The fourth proportional to 617.42, 925.10 and 270.22 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 925.10 = 270.22 : x
  2. Step 2: Convert to fraction form
    617.42/925.10 = 270.22/x
  3. Step 3: Cross multiply
    617.42x = 925.10 × 270.22
  4. Step 4: Simplify right side
    617.42x = 249,980.52
  5. Step 5: Solve for x
    x = 249,980.52/617.42
  6. Step 6: Final answer
    x = 404.88

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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.