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Finding the Fourth Proportional to 459.50, 689.17 and 185.52

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Solution

The fourth proportional to 459.50, 689.17 and 185.52 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.50 : 689.17 = 185.52 : x
  2. Step 2: Convert to fraction form
    459.50/689.17 = 185.52/x
  3. Step 3: Cross multiply
    459.50x = 689.17 × 185.52
  4. Step 4: Simplify right side
    459.50x = 127,854.82
  5. Step 5: Solve for x
    x = 127,854.82/459.50
  6. Step 6: Final answer
    x = 278.25

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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.