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Finding the Fourth Proportional to 475.14, 713.15 and 292.89

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Solution

The fourth proportional to 475.14, 713.15 and 292.89 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.14 : 713.15 = 292.89 : x
  2. Step 2: Convert to fraction form
    475.14/713.15 = 292.89/x
  3. Step 3: Cross multiply
    475.14x = 713.15 × 292.89
  4. Step 4: Simplify right side
    475.14x = 208,874.50
  5. Step 5: Solve for x
    x = 208,874.50/475.14
  6. Step 6: Final answer
    x = 439.61

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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.