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Finding the Fourth Proportional to 353.32, 486.75 and 288.25

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Solution

The fourth proportional to 353.32, 486.75 and 288.25 is: 397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.32 : 486.75 = 288.25 : x
  2. Step 2: Convert to fraction form
    353.32/486.75 = 288.25/x
  3. Step 3: Cross multiply
    353.32x = 486.75 × 288.25
  4. Step 4: Simplify right side
    353.32x = 140,305.69
  5. Step 5: Solve for x
    x = 140,305.69/353.32
  6. Step 6: Final answer
    x = 397.11

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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.