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Finding the Fourth Proportional to 362.06, 497.46 and 288.24

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Solution

The fourth proportional to 362.06, 497.46 and 288.24 is: 396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.06 : 497.46 = 288.24 : x
  2. Step 2: Convert to fraction form
    362.06/497.46 = 288.24/x
  3. Step 3: Cross multiply
    362.06x = 497.46 × 288.24
  4. Step 4: Simplify right side
    362.06x = 143,387.87
  5. Step 5: Solve for x
    x = 143,387.87/362.06
  6. Step 6: Final answer
    x = 396.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.