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Finding the Fourth Proportional to 617.59, 852.28 and 337.83

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Solution

The fourth proportional to 617.59, 852.28 and 337.83 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.59 : 852.28 = 337.83 : x
  2. Step 2: Convert to fraction form
    617.59/852.28 = 337.83/x
  3. Step 3: Cross multiply
    617.59x = 852.28 × 337.83
  4. Step 4: Simplify right side
    617.59x = 287,925.75
  5. Step 5: Solve for x
    x = 287,925.75/617.59
  6. Step 6: Final answer
    x = 466.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.