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Finding the Fourth Proportional to 934.30, 1,401.62 and 414.30

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Solution

The fourth proportional to 934.30, 1,401.62 and 414.30 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.30 : 1,401.62 = 414.30 : x
  2. Step 2: Convert to fraction form
    934.30/1,401.62 = 414.30/x
  3. Step 3: Cross multiply
    934.30x = 1,401.62 × 414.30
  4. Step 4: Simplify right side
    934.30x = 580,691.17
  5. Step 5: Solve for x
    x = 580,691.17/934.30
  6. Step 6: Final answer
    x = 621.53

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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.