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Finding the Fourth Proportional to 699.38, 965.34 and 466.50

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Solution

The fourth proportional to 699.38, 965.34 and 466.50 is: 643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 965.34 = 466.50 : x
  2. Step 2: Convert to fraction form
    699.38/965.34 = 466.50/x
  3. Step 3: Cross multiply
    699.38x = 965.34 × 466.50
  4. Step 4: Simplify right side
    699.38x = 450,331.11
  5. Step 5: Solve for x
    x = 450,331.11/699.38
  6. Step 6: Final answer
    x = 643.91

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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.