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Finding the Fourth Proportional to 649.01, 972.90 and 324.20

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Solution

The fourth proportional to 649.01, 972.90 and 324.20 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.01 : 972.90 = 324.20 : x
  2. Step 2: Convert to fraction form
    649.01/972.90 = 324.20/x
  3. Step 3: Cross multiply
    649.01x = 972.90 × 324.20
  4. Step 4: Simplify right side
    649.01x = 315,409.32
  5. Step 5: Solve for x
    x = 315,409.32/649.01
  6. Step 6: Final answer
    x = 485.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.