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Finding the Fourth Proportional to 552.75, 761.47 and 386.65

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Solution

The fourth proportional to 552.75, 761.47 and 386.65 is: 532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 761.47 = 386.65 : x
  2. Step 2: Convert to fraction form
    552.75/761.47 = 386.65/x
  3. Step 3: Cross multiply
    552.75x = 761.47 × 386.65
  4. Step 4: Simplify right side
    552.75x = 294,422.38
  5. Step 5: Solve for x
    x = 294,422.38/552.75
  6. Step 6: Final answer
    x = 532.65

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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.