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Finding the Fourth Proportional to 395.93, 546.75 and 297.52

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Solution

The fourth proportional to 395.93, 546.75 and 297.52 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.75 = 297.52 : x
  2. Step 2: Convert to fraction form
    395.93/546.75 = 297.52/x
  3. Step 3: Cross multiply
    395.93x = 546.75 × 297.52
  4. Step 4: Simplify right side
    395.93x = 162,667.69
  5. Step 5: Solve for x
    x = 162,667.69/395.93
  6. Step 6: Final answer
    x = 410.85

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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.