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Finding the Fourth Proportional to 699.32, 965.10 and 400.66

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Solution

The fourth proportional to 699.32, 965.10 and 400.66 is: 552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 965.10 = 400.66 : x
  2. Step 2: Convert to fraction form
    699.32/965.10 = 400.66/x
  3. Step 3: Cross multiply
    699.32x = 965.10 × 400.66
  4. Step 4: Simplify right side
    699.32x = 386,676.97
  5. Step 5: Solve for x
    x = 386,676.97/699.32
  6. Step 6: Final answer
    x = 552.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.