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Finding the Fourth Proportional to 699.69, 965.33 and 404.85

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Solution

The fourth proportional to 699.69, 965.33 and 404.85 is: 558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.69 : 965.33 = 404.85 : x
  2. Step 2: Convert to fraction form
    699.69/965.33 = 404.85/x
  3. Step 3: Cross multiply
    699.69x = 965.33 × 404.85
  4. Step 4: Simplify right side
    699.69x = 390,813.85
  5. Step 5: Solve for x
    x = 390,813.85/699.69
  6. Step 6: Final answer
    x = 558.55

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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.