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Finding the Fourth Proportional to 698.18, 963.34 and 418.34

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Solution

The fourth proportional to 698.18, 963.34 and 418.34 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.18 : 963.34 = 418.34 : x
  2. Step 2: Convert to fraction form
    698.18/963.34 = 418.34/x
  3. Step 3: Cross multiply
    698.18x = 963.34 × 418.34
  4. Step 4: Simplify right side
    698.18x = 402,997.79
  5. Step 5: Solve for x
    x = 402,997.79/698.18
  6. Step 6: Final answer
    x = 577.22

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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.