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Finding the Fourth Proportional to 699.36, 965.15 and 463.72

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Solution

The fourth proportional to 699.36, 965.15 and 463.72 is: 639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.36 : 965.15 = 463.72 : x
  2. Step 2: Convert to fraction form
    699.36/965.15 = 463.72/x
  3. Step 3: Cross multiply
    699.36x = 965.15 × 463.72
  4. Step 4: Simplify right side
    699.36x = 447,559.36
  5. Step 5: Solve for x
    x = 447,559.36/699.36
  6. Step 6: Final answer
    x = 639.96

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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.