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Finding the Fourth Proportional to 698.88, 964.51 and 419.12

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Solution

The fourth proportional to 698.88, 964.51 and 419.12 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.88 : 964.51 = 419.12 : x
  2. Step 2: Convert to fraction form
    698.88/964.51 = 419.12/x
  3. Step 3: Cross multiply
    698.88x = 964.51 × 419.12
  4. Step 4: Simplify right side
    698.88x = 404,248.60
  5. Step 5: Solve for x
    x = 404,248.60/698.88
  6. Step 6: Final answer
    x = 578.43

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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.