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Finding the Fourth Proportional to 699.90, 965.96 and 401.24

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Solution

The fourth proportional to 699.90, 965.96 and 401.24 is: 553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.90 : 965.96 = 401.24 : x
  2. Step 2: Convert to fraction form
    699.90/965.96 = 401.24/x
  3. Step 3: Cross multiply
    699.90x = 965.96 × 401.24
  4. Step 4: Simplify right side
    699.90x = 387,581.79
  5. Step 5: Solve for x
    x = 387,581.79/699.90
  6. Step 6: Final answer
    x = 553.77

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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.