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Finding the Fourth Proportional to 931.17, 1,396.38 and 410.80

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Solution

The fourth proportional to 931.17, 1,396.38 and 410.80 is: 616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.17 : 1,396.38 = 410.80 : x
  2. Step 2: Convert to fraction form
    931.17/1,396.38 = 410.80/x
  3. Step 3: Cross multiply
    931.17x = 1,396.38 × 410.80
  4. Step 4: Simplify right side
    931.17x = 573,633.93
  5. Step 5: Solve for x
    x = 573,633.93/931.17
  6. Step 6: Final answer
    x = 616.04

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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.