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Finding the Fourth Proportional to 617.53, 852.19 and 337.76

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Solution

The fourth proportional to 617.53, 852.19 and 337.76 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.53 : 852.19 = 337.76 : x
  2. Step 2: Convert to fraction form
    617.53/852.19 = 337.76/x
  3. Step 3: Cross multiply
    617.53x = 852.19 × 337.76
  4. Step 4: Simplify right side
    617.53x = 287,836.00
  5. Step 5: Solve for x
    x = 287,836.00/617.53
  6. Step 6: Final answer
    x = 466.11

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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.