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Finding the Fourth Proportional to 504.48, 694.92 and 421.56

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Solution

The fourth proportional to 504.48, 694.92 and 421.56 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.48 : 694.92 = 421.56 : x
  2. Step 2: Convert to fraction form
    504.48/694.92 = 421.56/x
  3. Step 3: Cross multiply
    504.48x = 694.92 × 421.56
  4. Step 4: Simplify right side
    504.48x = 292,950.48
  5. Step 5: Solve for x
    x = 292,950.48/504.48
  6. Step 6: Final answer
    x = 580.70

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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.