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Finding the Fourth Proportional to 487.29, 672.48 and 266.25

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Solution

The fourth proportional to 487.29, 672.48 and 266.25 is: 367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.29 : 672.48 = 266.25 : x
  2. Step 2: Convert to fraction form
    487.29/672.48 = 266.25/x
  3. Step 3: Cross multiply
    487.29x = 672.48 × 266.25
  4. Step 4: Simplify right side
    487.29x = 179,047.80
  5. Step 5: Solve for x
    x = 179,047.80/487.29
  6. Step 6: Final answer
    x = 367.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.