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Finding the Fourth Proportional to 458.32, 687 and 226.76

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Solution

The fourth proportional to 458.32, 687 and 226.76 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 687 = 226.76 : x
  2. Step 2: Convert to fraction form
    458.32/687 = 226.76/x
  3. Step 3: Cross multiply
    458.32x = 687 × 226.76
  4. Step 4: Simplify right side
    458.32x = 155,784.12
  5. Step 5: Solve for x
    x = 155,784.12/458.32
  6. Step 6: Final answer
    x = 339.90

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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.