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Finding the Fourth Proportional to 649.60, 974.30 and 264.76

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Solution

The fourth proportional to 649.60, 974.30 and 264.76 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 974.30 = 264.76 : x
  2. Step 2: Convert to fraction form
    649.60/974.30 = 264.76/x
  3. Step 3: Cross multiply
    649.60x = 974.30 × 264.76
  4. Step 4: Simplify right side
    649.60x = 257,955.67
  5. Step 5: Solve for x
    x = 257,955.67/649.60
  6. Step 6: Final answer
    x = 397.10

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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.