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Finding the Fourth Proportional to 934.13, 1,401.25 and 414.01

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Solution

The fourth proportional to 934.13, 1,401.25 and 414.01 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.13 : 1,401.25 = 414.01 : x
  2. Step 2: Convert to fraction form
    934.13/1,401.25 = 414.01/x
  3. Step 3: Cross multiply
    934.13x = 1,401.25 × 414.01
  4. Step 4: Simplify right side
    934.13x = 580,133.01
  5. Step 5: Solve for x
    x = 580,133.01/934.13
  6. Step 6: Final answer
    x = 621.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.