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Finding the Fourth Proportional to 930.76, 1,395.11 and 410.21

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Solution

The fourth proportional to 930.76, 1,395.11 and 410.21 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,395.11 = 410.21 : x
  2. Step 2: Convert to fraction form
    930.76/1,395.11 = 410.21/x
  3. Step 3: Cross multiply
    930.76x = 1,395.11 × 410.21
  4. Step 4: Simplify right side
    930.76x = 572,282.12
  5. Step 5: Solve for x
    x = 572,282.12/930.76
  6. Step 6: Final answer
    x = 614.86

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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.