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Finding the Fourth Proportional to 437.68, 657.42 and 423.10

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Solution

The fourth proportional to 437.68, 657.42 and 423.10 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 657.42 = 423.10 : x
  2. Step 2: Convert to fraction form
    437.68/657.42 = 423.10/x
  3. Step 3: Cross multiply
    437.68x = 657.42 × 423.10
  4. Step 4: Simplify right side
    437.68x = 278,154.40
  5. Step 5: Solve for x
    x = 278,154.40/437.68
  6. Step 6: Final answer
    x = 635.52

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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.