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Finding the Fourth Proportional to 445.60, 663.80 and 424.72

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Solution

The fourth proportional to 445.60, 663.80 and 424.72 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.60 : 663.80 = 424.72 : x
  2. Step 2: Convert to fraction form
    445.60/663.80 = 424.72/x
  3. Step 3: Cross multiply
    445.60x = 663.80 × 424.72
  4. Step 4: Simplify right side
    445.60x = 281,929.14
  5. Step 5: Solve for x
    x = 281,929.14/445.60
  6. Step 6: Final answer
    x = 632.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.