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Finding the Fourth Proportional to 698.20, 964.32 and 502

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Solution

The fourth proportional to 698.20, 964.32 and 502 is: 693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.20 : 964.32 = 502 : x
  2. Step 2: Convert to fraction form
    698.20/964.32 = 502/x
  3. Step 3: Cross multiply
    698.20x = 964.32 × 502
  4. Step 4: Simplify right side
    698.20x = 484,088.64
  5. Step 5: Solve for x
    x = 484,088.64/698.20
  6. Step 6: Final answer
    x = 693.34

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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.