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Finding the Fourth Proportional to 691.23, 952.80 and 469.80

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Solution

The fourth proportional to 691.23, 952.80 and 469.80 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 952.80 = 469.80 : x
  2. Step 2: Convert to fraction form
    691.23/952.80 = 469.80/x
  3. Step 3: Cross multiply
    691.23x = 952.80 × 469.80
  4. Step 4: Simplify right side
    691.23x = 447,625.44
  5. Step 5: Solve for x
    x = 447,625.44/691.23
  6. Step 6: Final answer
    x = 647.58

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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.