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Finding the Fourth Proportional to 699.40, 965.27 and 400.74

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Solution

The fourth proportional to 699.40, 965.27 and 400.74 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.40 : 965.27 = 400.74 : x
  2. Step 2: Convert to fraction form
    699.40/965.27 = 400.74/x
  3. Step 3: Cross multiply
    699.40x = 965.27 × 400.74
  4. Step 4: Simplify right side
    699.40x = 386,822.30
  5. Step 5: Solve for x
    x = 386,822.30/699.40
  6. Step 6: Final answer
    x = 553.08

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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.