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Finding the Fourth Proportional to 698.64, 964.07 and 418.88

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Solution

The fourth proportional to 698.64, 964.07 and 418.88 is: 578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.64 : 964.07 = 418.88 : x
  2. Step 2: Convert to fraction form
    698.64/964.07 = 418.88/x
  3. Step 3: Cross multiply
    698.64x = 964.07 × 418.88
  4. Step 4: Simplify right side
    698.64x = 403,822.73
  5. Step 5: Solve for x
    x = 403,822.73/698.64
  6. Step 6: Final answer
    x = 578.01

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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.