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Finding the Fourth Proportional to 698.88, 964.58 and 404.20

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Solution

The fourth proportional to 698.88, 964.58 and 404.20 is: 557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.88 : 964.58 = 404.20 : x
  2. Step 2: Convert to fraction form
    698.88/964.58 = 404.20/x
  3. Step 3: Cross multiply
    698.88x = 964.58 × 404.20
  4. Step 4: Simplify right side
    698.88x = 389,883.24
  5. Step 5: Solve for x
    x = 389,883.24/698.88
  6. Step 6: Final answer
    x = 557.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.