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Finding the Fourth Proportional to 453.60, 624.24 and 437.76

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Solution

The fourth proportional to 453.60, 624.24 and 437.76 is: 602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 624.24 = 437.76 : x
  2. Step 2: Convert to fraction form
    453.60/624.24 = 437.76/x
  3. Step 3: Cross multiply
    453.60x = 624.24 × 437.76
  4. Step 4: Simplify right side
    453.60x = 273,267.30
  5. Step 5: Solve for x
    x = 273,267.30/453.60
  6. Step 6: Final answer
    x = 602.44

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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.