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Finding the Fourth Proportional to 504.10, 694.20 and 462.52

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Solution

The fourth proportional to 504.10, 694.20 and 462.52 is: 636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 694.20 = 462.52 : x
  2. Step 2: Convert to fraction form
    504.10/694.20 = 462.52/x
  3. Step 3: Cross multiply
    504.10x = 694.20 × 462.52
  4. Step 4: Simplify right side
    504.10x = 321,081.38
  5. Step 5: Solve for x
    x = 321,081.38/504.10
  6. Step 6: Final answer
    x = 636.94

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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.