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Finding the Fourth Proportional to 617.46, 852.46 and 459.90

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Solution

The fourth proportional to 617.46, 852.46 and 459.90 is: 634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 852.46 = 459.90 : x
  2. Step 2: Convert to fraction form
    617.46/852.46 = 459.90/x
  3. Step 3: Cross multiply
    617.46x = 852.46 × 459.90
  4. Step 4: Simplify right side
    617.46x = 392,046.35
  5. Step 5: Solve for x
    x = 392,046.35/617.46
  6. Step 6: Final answer
    x = 634.93

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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.