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Finding the Fourth Proportional to 698.86, 964.18 and 436.86

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Solution

The fourth proportional to 698.86, 964.18 and 436.86 is: 602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 964.18 = 436.86 : x
  2. Step 2: Convert to fraction form
    698.86/964.18 = 436.86/x
  3. Step 3: Cross multiply
    698.86x = 964.18 × 436.86
  4. Step 4: Simplify right side
    698.86x = 421,211.67
  5. Step 5: Solve for x
    x = 421,211.67/698.86
  6. Step 6: Final answer
    x = 602.71

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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.