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Finding the Fourth Proportional to 543.12, 749.66 and 366.05

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Solution

The fourth proportional to 543.12, 749.66 and 366.05 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 749.66 = 366.05 : x
  2. Step 2: Convert to fraction form
    543.12/749.66 = 366.05/x
  3. Step 3: Cross multiply
    543.12x = 749.66 × 366.05
  4. Step 4: Simplify right side
    543.12x = 274,407.46
  5. Step 5: Solve for x
    x = 274,407.46/543.12
  6. Step 6: Final answer
    x = 505.24

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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.