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Finding the Fourth Proportional to 458.54, 687.96 and 146.24

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Solution

The fourth proportional to 458.54, 687.96 and 146.24 is: 219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.54 : 687.96 = 146.24 : x
  2. Step 2: Convert to fraction form
    458.54/687.96 = 146.24/x
  3. Step 3: Cross multiply
    458.54x = 687.96 × 146.24
  4. Step 4: Simplify right side
    458.54x = 100,606.41
  5. Step 5: Solve for x
    x = 100,606.41/458.54
  6. Step 6: Final answer
    x = 219.40

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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.