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Finding the Fourth Proportional to 360.23, 497.18 and 282.47

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Solution

The fourth proportional to 360.23, 497.18 and 282.47 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 497.18 = 282.47 : x
  2. Step 2: Convert to fraction form
    360.23/497.18 = 282.47/x
  3. Step 3: Cross multiply
    360.23x = 497.18 × 282.47
  4. Step 4: Simplify right side
    360.23x = 140,436.84
  5. Step 5: Solve for x
    x = 140,436.84/360.23
  6. Step 6: Final answer
    x = 389.86

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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.