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Finding the Fourth Proportional to 617.66, 851.67 and 462.14

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Solution

The fourth proportional to 617.66, 851.67 and 462.14 is: 637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 851.67 = 462.14 : x
  2. Step 2: Convert to fraction form
    617.66/851.67 = 462.14/x
  3. Step 3: Cross multiply
    617.66x = 851.67 × 462.14
  4. Step 4: Simplify right side
    617.66x = 393,590.77
  5. Step 5: Solve for x
    x = 393,590.77/617.66
  6. Step 6: Final answer
    x = 637.23

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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.