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Finding the Fourth Proportional to 698.96, 964.36 and 466

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Solution

The fourth proportional to 698.96, 964.36 and 466 is: 642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.96 : 964.36 = 466 : x
  2. Step 2: Convert to fraction form
    698.96/964.36 = 466/x
  3. Step 3: Cross multiply
    698.96x = 964.36 × 466
  4. Step 4: Simplify right side
    698.96x = 449,391.76
  5. Step 5: Solve for x
    x = 449,391.76/698.96
  6. Step 6: Final answer
    x = 642.94

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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.