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Finding the Fourth Proportional to 934.55, 1,402.29 and 414.66

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Solution

The fourth proportional to 934.55, 1,402.29 and 414.66 is: 622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.55 : 1,402.29 = 414.66 : x
  2. Step 2: Convert to fraction form
    934.55/1,402.29 = 414.66/x
  3. Step 3: Cross multiply
    934.55x = 1,402.29 × 414.66
  4. Step 4: Simplify right side
    934.55x = 581,473.57
  5. Step 5: Solve for x
    x = 581,473.57/934.55
  6. Step 6: Final answer
    x = 622.20

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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.