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Finding the Fourth Proportional to 699.34, 965.06 and 400.59

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Solution

The fourth proportional to 699.34, 965.06 and 400.59 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.34 : 965.06 = 400.59 : x
  2. Step 2: Convert to fraction form
    699.34/965.06 = 400.59/x
  3. Step 3: Cross multiply
    699.34x = 965.06 × 400.59
  4. Step 4: Simplify right side
    699.34x = 386,591.38
  5. Step 5: Solve for x
    x = 386,591.38/699.34
  6. Step 6: Final answer
    x = 552.80

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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.