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Finding the Fourth Proportional to 360.48, 497.07 and 243.84

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Solution

The fourth proportional to 360.48, 497.07 and 243.84 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 497.07 = 243.84 : x
  2. Step 2: Convert to fraction form
    360.48/497.07 = 243.84/x
  3. Step 3: Cross multiply
    360.48x = 497.07 × 243.84
  4. Step 4: Simplify right side
    360.48x = 121,205.55
  5. Step 5: Solve for x
    x = 121,205.55/360.48
  6. Step 6: Final answer
    x = 336.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.