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Finding the Fourth Proportional to 698.46, 964.08 and 418.71

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Solution

The fourth proportional to 698.46, 964.08 and 418.71 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 964.08 = 418.71 : x
  2. Step 2: Convert to fraction form
    698.46/964.08 = 418.71/x
  3. Step 3: Cross multiply
    698.46x = 964.08 × 418.71
  4. Step 4: Simplify right side
    698.46x = 403,669.94
  5. Step 5: Solve for x
    x = 403,669.94/698.46
  6. Step 6: Final answer
    x = 577.94

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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.