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Finding the Fourth Proportional to 699.10, 964.12 and 477.68

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Solution

The fourth proportional to 699.10, 964.12 and 477.68 is: 658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.10 : 964.12 = 477.68 : x
  2. Step 2: Convert to fraction form
    699.10/964.12 = 477.68/x
  3. Step 3: Cross multiply
    699.10x = 964.12 × 477.68
  4. Step 4: Simplify right side
    699.10x = 460,540.84
  5. Step 5: Solve for x
    x = 460,540.84/699.10
  6. Step 6: Final answer
    x = 658.76

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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.