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Finding the Fourth Proportional to 543.36, 749.24 and 346.62

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Solution

The fourth proportional to 543.36, 749.24 and 346.62 is: 477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 749.24 = 346.62 : x
  2. Step 2: Convert to fraction form
    543.36/749.24 = 346.62/x
  3. Step 3: Cross multiply
    543.36x = 749.24 × 346.62
  4. Step 4: Simplify right side
    543.36x = 259,701.57
  5. Step 5: Solve for x
    x = 259,701.57/543.36
  6. Step 6: Final answer
    x = 477.95

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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.