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Finding the Fourth Proportional to 542.64, 748.86 and 309.84

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Solution

The fourth proportional to 542.64, 748.86 and 309.84 is: 427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 748.86 = 309.84 : x
  2. Step 2: Convert to fraction form
    542.64/748.86 = 309.84/x
  3. Step 3: Cross multiply
    542.64x = 748.86 × 309.84
  4. Step 4: Simplify right side
    542.64x = 232,026.78
  5. Step 5: Solve for x
    x = 232,026.78/542.64
  6. Step 6: Final answer
    x = 427.59

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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.