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Finding the Fourth Proportional to 698.32, 963.72 and 465.28

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Solution

The fourth proportional to 698.32, 963.72 and 465.28 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 963.72 = 465.28 : x
  2. Step 2: Convert to fraction form
    698.32/963.72 = 465.28/x
  3. Step 3: Cross multiply
    698.32x = 963.72 × 465.28
  4. Step 4: Simplify right side
    698.32x = 448,399.64
  5. Step 5: Solve for x
    x = 448,399.64/698.32
  6. Step 6: Final answer
    x = 642.11

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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.