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Finding the Fourth Proportional to 934.04, 1,401.52 and 414.78

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Solution

The fourth proportional to 934.04, 1,401.52 and 414.78 is: 622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.04 : 1,401.52 = 414.78 : x
  2. Step 2: Convert to fraction form
    934.04/1,401.52 = 414.78/x
  3. Step 3: Cross multiply
    934.04x = 1,401.52 × 414.78
  4. Step 4: Simplify right side
    934.04x = 581,322.47
  5. Step 5: Solve for x
    x = 581,322.47/934.04
  6. Step 6: Final answer
    x = 622.37

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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.