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Finding the Fourth Proportional to 543.24, 749.84 and 310.52

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Solution

The fourth proportional to 543.24, 749.84 and 310.52 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 749.84 = 310.52 : x
  2. Step 2: Convert to fraction form
    543.24/749.84 = 310.52/x
  3. Step 3: Cross multiply
    543.24x = 749.84 × 310.52
  4. Step 4: Simplify right side
    543.24x = 232,840.32
  5. Step 5: Solve for x
    x = 232,840.32/543.24
  6. Step 6: Final answer
    x = 428.61

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Why These Related Problems?

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