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Finding the Fourth Proportional to 649.19, 974.04 and 264.71

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Solution

The fourth proportional to 649.19, 974.04 and 264.71 is: 397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.19 : 974.04 = 264.71 : x
  2. Step 2: Convert to fraction form
    649.19/974.04 = 264.71/x
  3. Step 3: Cross multiply
    649.19x = 974.04 × 264.71
  4. Step 4: Simplify right side
    649.19x = 257,833.26
  5. Step 5: Solve for x
    x = 257,833.26/649.19
  6. Step 6: Final answer
    x = 397.16

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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.