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Finding the Fourth Proportional to 410.64, 616.10 and 194.15

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Solution

The fourth proportional to 410.64, 616.10 and 194.15 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 616.10 = 194.15 : x
  2. Step 2: Convert to fraction form
    410.64/616.10 = 194.15/x
  3. Step 3: Cross multiply
    410.64x = 616.10 × 194.15
  4. Step 4: Simplify right side
    410.64x = 119,611.76
  5. Step 5: Solve for x
    x = 119,611.76/410.64
  6. Step 6: Final answer
    x = 291.28

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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.