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Finding the Fourth Proportional to 360.32, 497.75 and 286.54

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Solution

The fourth proportional to 360.32, 497.75 and 286.54 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 497.75 = 286.54 : x
  2. Step 2: Convert to fraction form
    360.32/497.75 = 286.54/x
  3. Step 3: Cross multiply
    360.32x = 497.75 × 286.54
  4. Step 4: Simplify right side
    360.32x = 142,622.61
  5. Step 5: Solve for x
    x = 142,622.61/360.32
  6. Step 6: Final answer
    x = 395.83

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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.