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Finding the Fourth Proportional to 458.30, 687.96 and 341.60

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Solution

The fourth proportional to 458.30, 687.96 and 341.60 is: 512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.30 : 687.96 = 341.60 : x
  2. Step 2: Convert to fraction form
    458.30/687.96 = 341.60/x
  3. Step 3: Cross multiply
    458.30x = 687.96 × 341.60
  4. Step 4: Simplify right side
    458.30x = 235,003.70
  5. Step 5: Solve for x
    x = 235,003.70/458.30
  6. Step 6: Final answer
    x = 512.77

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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.