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Finding the Fourth Proportional to 458.72, 688.36 and 184.78

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Solution

The fourth proportional to 458.72, 688.36 and 184.78 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 688.36 = 184.78 : x
  2. Step 2: Convert to fraction form
    458.72/688.36 = 184.78/x
  3. Step 3: Cross multiply
    458.72x = 688.36 × 184.78
  4. Step 4: Simplify right side
    458.72x = 127,195.16
  5. Step 5: Solve for x
    x = 127,195.16/458.72
  6. Step 6: Final answer
    x = 277.28

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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.