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Finding the Fourth Proportional to 698.13, 963.36 and 449.01

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Solution

The fourth proportional to 698.13, 963.36 and 449.01 is: 619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 963.36 = 449.01 : x
  2. Step 2: Convert to fraction form
    698.13/963.36 = 449.01/x
  3. Step 3: Cross multiply
    698.13x = 963.36 × 449.01
  4. Step 4: Simplify right side
    698.13x = 432,558.27
  5. Step 5: Solve for x
    x = 432,558.27/698.13
  6. Step 6: Final answer
    x = 619.60

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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.