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Finding the Fourth Proportional to 699.57, 965.33 and 404.78

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Solution

The fourth proportional to 699.57, 965.33 and 404.78 is: 558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.57 : 965.33 = 404.78 : x
  2. Step 2: Convert to fraction form
    699.57/965.33 = 404.78/x
  3. Step 3: Cross multiply
    699.57x = 965.33 × 404.78
  4. Step 4: Simplify right side
    699.57x = 390,748.65
  5. Step 5: Solve for x
    x = 390,748.65/699.57
  6. Step 6: Final answer
    x = 558.56

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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.