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Finding the Fourth Proportional to 698.03, 963.29 and 418.29

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Solution

The fourth proportional to 698.03, 963.29 and 418.29 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.03 : 963.29 = 418.29 : x
  2. Step 2: Convert to fraction form
    698.03/963.29 = 418.29/x
  3. Step 3: Cross multiply
    698.03x = 963.29 × 418.29
  4. Step 4: Simplify right side
    698.03x = 402,934.57
  5. Step 5: Solve for x
    x = 402,934.57/698.03
  6. Step 6: Final answer
    x = 577.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.