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Finding the Fourth Proportional to 959.22, 1,439.33 and 411.46

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Solution

The fourth proportional to 959.22, 1,439.33 and 411.46 is: 617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.22 : 1,439.33 = 411.46 : x
  2. Step 2: Convert to fraction form
    959.22/1,439.33 = 411.46/x
  3. Step 3: Cross multiply
    959.22x = 1,439.33 × 411.46
  4. Step 4: Simplify right side
    959.22x = 592,226.72
  5. Step 5: Solve for x
    x = 592,226.72/959.22
  6. Step 6: Final answer
    x = 617.40

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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.