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Finding the Fourth Proportional to 360.48, 543.34 and 329.80

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Solution

The fourth proportional to 360.48, 543.34 and 329.80 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 543.34 = 329.80 : x
  2. Step 2: Convert to fraction form
    360.48/543.34 = 329.80/x
  3. Step 3: Cross multiply
    360.48x = 543.34 × 329.80
  4. Step 4: Simplify right side
    360.48x = 179,193.53
  5. Step 5: Solve for x
    x = 179,193.53/360.48
  6. Step 6: Final answer
    x = 497.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.