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Finding the Fourth Proportional to 699.42, 965.58 and 490.24

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Solution

The fourth proportional to 699.42, 965.58 and 490.24 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 965.58 = 490.24 : x
  2. Step 2: Convert to fraction form
    699.42/965.58 = 490.24/x
  3. Step 3: Cross multiply
    699.42x = 965.58 × 490.24
  4. Step 4: Simplify right side
    699.42x = 473,365.94
  5. Step 5: Solve for x
    x = 473,365.94/699.42
  6. Step 6: Final answer
    x = 676.80

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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.