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Finding the Fourth Proportional to 699.71, 964.85 and 463.59

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Solution

The fourth proportional to 699.71, 964.85 and 463.59 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.71 : 964.85 = 463.59 : x
  2. Step 2: Convert to fraction form
    699.71/964.85 = 463.59/x
  3. Step 3: Cross multiply
    699.71x = 964.85 × 463.59
  4. Step 4: Simplify right side
    699.71x = 447,292.33
  5. Step 5: Solve for x
    x = 447,292.33/699.71
  6. Step 6: Final answer
    x = 639.25

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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.