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Finding the Fourth Proportional to 458.79, 688.86 and 185.41

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Solution

The fourth proportional to 458.79, 688.86 and 185.41 is: 278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.79 : 688.86 = 185.41 : x
  2. Step 2: Convert to fraction form
    458.79/688.86 = 185.41/x
  3. Step 3: Cross multiply
    458.79x = 688.86 × 185.41
  4. Step 4: Simplify right side
    458.79x = 127,721.53
  5. Step 5: Solve for x
    x = 127,721.53/458.79
  6. Step 6: Final answer
    x = 278.39

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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.