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Finding the Fourth Proportional to 362.72, 497.25 and 360

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Solution

The fourth proportional to 362.72, 497.25 and 360 is: 493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.72 : 497.25 = 360 : x
  2. Step 2: Convert to fraction form
    362.72/497.25 = 360/x
  3. Step 3: Cross multiply
    362.72x = 497.25 × 360
  4. Step 4: Simplify right side
    362.72x = 179,010
  5. Step 5: Solve for x
    x = 179,010/362.72
  6. Step 6: Final answer
    x = 493.52

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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.