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Finding the Fourth Proportional to 407.32, 611.07 and 317.14

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Solution

The fourth proportional to 407.32, 611.07 and 317.14 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 611.07 = 317.14 : x
  2. Step 2: Convert to fraction form
    407.32/611.07 = 317.14/x
  3. Step 3: Cross multiply
    407.32x = 611.07 × 317.14
  4. Step 4: Simplify right side
    407.32x = 193,794.74
  5. Step 5: Solve for x
    x = 193,794.74/407.32
  6. Step 6: Final answer
    x = 475.78

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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.