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Finding the Fourth Proportional to 617.60, 925.05 and 328.70

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Solution

The fourth proportional to 617.60, 925.05 and 328.70 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 925.05 = 328.70 : x
  2. Step 2: Convert to fraction form
    617.60/925.05 = 328.70/x
  3. Step 3: Cross multiply
    617.60x = 925.05 × 328.70
  4. Step 4: Simplify right side
    617.60x = 304,063.94
  5. Step 5: Solve for x
    x = 304,063.94/617.60
  6. Step 6: Final answer
    x = 492.33

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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.