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Finding the Fourth Proportional to 458.88, 688.32 and 185.06

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Solution

The fourth proportional to 458.88, 688.32 and 185.06 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.88 : 688.32 = 185.06 : x
  2. Step 2: Convert to fraction form
    458.88/688.32 = 185.06/x
  3. Step 3: Cross multiply
    458.88x = 688.32 × 185.06
  4. Step 4: Simplify right side
    458.88x = 127,377.06
  5. Step 5: Solve for x
    x = 127,377.06/458.88
  6. Step 6: Final answer
    x = 277.58

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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.