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Finding the Fourth Proportional to 649.30, 972.92 and 259.08

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Solution

The fourth proportional to 649.30, 972.92 and 259.08 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 972.92 = 259.08 : x
  2. Step 2: Convert to fraction form
    649.30/972.92 = 259.08/x
  3. Step 3: Cross multiply
    649.30x = 972.92 × 259.08
  4. Step 4: Simplify right side
    649.30x = 252,064.11
  5. Step 5: Solve for x
    x = 252,064.11/649.30
  6. Step 6: Final answer
    x = 388.21

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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.