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Finding the Fourth Proportional to 504.38, 694.68 and 474.61

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Solution

The fourth proportional to 504.38, 694.68 and 474.61 is: 653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 694.68 = 474.61 : x
  2. Step 2: Convert to fraction form
    504.38/694.68 = 474.61/x
  3. Step 3: Cross multiply
    504.38x = 694.68 × 474.61
  4. Step 4: Simplify right side
    504.38x = 329,699.86
  5. Step 5: Solve for x
    x = 329,699.86/504.38
  6. Step 6: Final answer
    x = 653.68

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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.