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Finding the Fourth Proportional to 542.64, 748.92 and 309.76

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Solution

The fourth proportional to 542.64, 748.92 and 309.76 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 748.92 = 309.76 : x
  2. Step 2: Convert to fraction form
    542.64/748.92 = 309.76/x
  3. Step 3: Cross multiply
    542.64x = 748.92 × 309.76
  4. Step 4: Simplify right side
    542.64x = 231,985.46
  5. Step 5: Solve for x
    x = 231,985.46/542.64
  6. Step 6: Final answer
    x = 427.51

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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.