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Finding the Fourth Proportional to 415.86, 624.06 and 184.92

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Solution

The fourth proportional to 415.86, 624.06 and 184.92 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 624.06 = 184.92 : x
  2. Step 2: Convert to fraction form
    415.86/624.06 = 184.92/x
  3. Step 3: Cross multiply
    415.86x = 624.06 × 184.92
  4. Step 4: Simplify right side
    415.86x = 115,401.18
  5. Step 5: Solve for x
    x = 115,401.18/415.86
  6. Step 6: Final answer
    x = 277.50

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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.