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Finding the Fourth Proportional to 698.47, 963.80 and 403.76

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Solution

The fourth proportional to 698.47, 963.80 and 403.76 is: 557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.47 : 963.80 = 403.76 : x
  2. Step 2: Convert to fraction form
    698.47/963.80 = 403.76/x
  3. Step 3: Cross multiply
    698.47x = 963.80 × 403.76
  4. Step 4: Simplify right side
    698.47x = 389,138.56
  5. Step 5: Solve for x
    x = 389,138.56/698.47
  6. Step 6: Final answer
    x = 557.13

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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.