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Finding the Fourth Proportional to 652.97, 979.54 and 268.13

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Solution

The fourth proportional to 652.97, 979.54 and 268.13 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 979.54 = 268.13 : x
  2. Step 2: Convert to fraction form
    652.97/979.54 = 268.13/x
  3. Step 3: Cross multiply
    652.97x = 979.54 × 268.13
  4. Step 4: Simplify right side
    652.97x = 262,638.49
  5. Step 5: Solve for x
    x = 262,638.49/652.97
  6. Step 6: Final answer
    x = 402.22

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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.