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Finding the Fourth Proportional to 698.34, 963.65 and 418.57

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Solution

The fourth proportional to 698.34, 963.65 and 418.57 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 963.65 = 418.57 : x
  2. Step 2: Convert to fraction form
    698.34/963.65 = 418.57/x
  3. Step 3: Cross multiply
    698.34x = 963.65 × 418.57
  4. Step 4: Simplify right side
    698.34x = 403,354.98
  5. Step 5: Solve for x
    x = 403,354.98/698.34
  6. Step 6: Final answer
    x = 577.59

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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.