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Finding the Fourth Proportional to 698.51, 963.85 and 414.88

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Solution

The fourth proportional to 698.51, 963.85 and 414.88 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.51 : 963.85 = 414.88 : x
  2. Step 2: Convert to fraction form
    698.51/963.85 = 414.88/x
  3. Step 3: Cross multiply
    698.51x = 963.85 × 414.88
  4. Step 4: Simplify right side
    698.51x = 399,882.13
  5. Step 5: Solve for x
    x = 399,882.13/698.51
  6. Step 6: Final answer
    x = 572.48

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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.