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Finding the Fourth Proportional to 542.95, 749.28 and 322.09

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Solution

The fourth proportional to 542.95, 749.28 and 322.09 is: 444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.95 : 749.28 = 322.09 : x
  2. Step 2: Convert to fraction form
    542.95/749.28 = 322.09/x
  3. Step 3: Cross multiply
    542.95x = 749.28 × 322.09
  4. Step 4: Simplify right side
    542.95x = 241,333.27
  5. Step 5: Solve for x
    x = 241,333.27/542.95
  6. Step 6: Final answer
    x = 444.48

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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.