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Finding the Fourth Proportional to 698.68, 964.35 and 418.98

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Solution

The fourth proportional to 698.68, 964.35 and 418.98 is: 578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 964.35 = 418.98 : x
  2. Step 2: Convert to fraction form
    698.68/964.35 = 418.98/x
  3. Step 3: Cross multiply
    698.68x = 964.35 × 418.98
  4. Step 4: Simplify right side
    698.68x = 404,043.36
  5. Step 5: Solve for x
    x = 404,043.36/698.68
  6. Step 6: Final answer
    x = 578.30

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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.