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Finding the Fourth Proportional to 458.02, 687.24 and 184.31

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Solution

The fourth proportional to 458.02, 687.24 and 184.31 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 687.24 = 184.31 : x
  2. Step 2: Convert to fraction form
    458.02/687.24 = 184.31/x
  3. Step 3: Cross multiply
    458.02x = 687.24 × 184.31
  4. Step 4: Simplify right side
    458.02x = 126,665.20
  5. Step 5: Solve for x
    x = 126,665.20/458.02
  6. Step 6: Final answer
    x = 276.55

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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.