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Finding the Fourth Proportional to 459.15, 688.73 and 185.24

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Solution

The fourth proportional to 459.15, 688.73 and 185.24 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.15 : 688.73 = 185.24 : x
  2. Step 2: Convert to fraction form
    459.15/688.73 = 185.24/x
  3. Step 3: Cross multiply
    459.15x = 688.73 × 185.24
  4. Step 4: Simplify right side
    459.15x = 127,580.69
  5. Step 5: Solve for x
    x = 127,580.69/459.15
  6. Step 6: Final answer
    x = 277.86

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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.