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Finding the Fourth Proportional to 617.48, 852.12 and 337.72

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Solution

The fourth proportional to 617.48, 852.12 and 337.72 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.48 : 852.12 = 337.72 : x
  2. Step 2: Convert to fraction form
    617.48/852.12 = 337.72/x
  3. Step 3: Cross multiply
    617.48x = 852.12 × 337.72
  4. Step 4: Simplify right side
    617.48x = 287,773.71
  5. Step 5: Solve for x
    x = 287,773.71/617.48
  6. Step 6: Final answer
    x = 466.05

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Why These Related Problems?

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