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Finding the Fourth Proportional to 934.04, 1,400.10 and 414.32

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Solution

The fourth proportional to 934.04, 1,400.10 and 414.32 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.04 : 1,400.10 = 414.32 : x
  2. Step 2: Convert to fraction form
    934.04/1,400.10 = 414.32/x
  3. Step 3: Cross multiply
    934.04x = 1,400.10 × 414.32
  4. Step 4: Simplify right side
    934.04x = 580,082.43
  5. Step 5: Solve for x
    x = 580,082.43/934.04
  6. Step 6: Final answer
    x = 621.05

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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.