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Finding the Fourth Proportional to 543.21, 749.85 and 368.66

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Solution

The fourth proportional to 543.21, 749.85 and 368.66 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 749.85 = 368.66 : x
  2. Step 2: Convert to fraction form
    543.21/749.85 = 368.66/x
  3. Step 3: Cross multiply
    543.21x = 749.85 × 368.66
  4. Step 4: Simplify right side
    543.21x = 276,439.70
  5. Step 5: Solve for x
    x = 276,439.70/543.21
  6. Step 6: Final answer
    x = 508.90

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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.