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Finding the Fourth Proportional to 437.64, 657.51 and 424.86

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Solution

The fourth proportional to 437.64, 657.51 and 424.86 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.64 : 657.51 = 424.86 : x
  2. Step 2: Convert to fraction form
    437.64/657.51 = 424.86/x
  3. Step 3: Cross multiply
    437.64x = 657.51 × 424.86
  4. Step 4: Simplify right side
    437.64x = 279,349.70
  5. Step 5: Solve for x
    x = 279,349.70/437.64
  6. Step 6: Final answer
    x = 638.31

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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.