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Finding the Fourth Proportional to 407.15, 609.91 and 187.47

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Solution

The fourth proportional to 407.15, 609.91 and 187.47 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.15 : 609.91 = 187.47 : x
  2. Step 2: Convert to fraction form
    407.15/609.91 = 187.47/x
  3. Step 3: Cross multiply
    407.15x = 609.91 × 187.47
  4. Step 4: Simplify right side
    407.15x = 114,342.13
  5. Step 5: Solve for x
    x = 114,342.13/407.15
  6. Step 6: Final answer
    x = 280.83

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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.