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Finding the Fourth Proportional to 500.95, 691.00 and 324.14

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Solution

The fourth proportional to 500.95, 691.00 and 324.14 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.95 : 691.00 = 324.14 : x
  2. Step 2: Convert to fraction form
    500.95/691.00 = 324.14/x
  3. Step 3: Cross multiply
    500.95x = 691.00 × 324.14
  4. Step 4: Simplify right side
    500.95x = 223,976.47
  5. Step 5: Solve for x
    x = 223,976.47/500.95
  6. Step 6: Final answer
    x = 447.10

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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.