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Finding the Fourth Proportional to 500.56, 748.80 and 423.04

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Solution

The fourth proportional to 500.56, 748.80 and 423.04 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.56 : 748.80 = 423.04 : x
  2. Step 2: Convert to fraction form
    500.56/748.80 = 423.04/x
  3. Step 3: Cross multiply
    500.56x = 748.80 × 423.04
  4. Step 4: Simplify right side
    500.56x = 316,772.35
  5. Step 5: Solve for x
    x = 316,772.35/500.56
  6. Step 6: Final answer
    x = 632.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.