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Finding the Fourth Proportional to 699.49, 965.10 and 404.74

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Solution

The fourth proportional to 699.49, 965.10 and 404.74 is: 558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.49 : 965.10 = 404.74 : x
  2. Step 2: Convert to fraction form
    699.49/965.10 = 404.74/x
  3. Step 3: Cross multiply
    699.49x = 965.10 × 404.74
  4. Step 4: Simplify right side
    699.49x = 390,614.57
  5. Step 5: Solve for x
    x = 390,614.57/699.49
  6. Step 6: Final answer
    x = 558.43

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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.