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Finding the Fourth Proportional to 542.82, 749.00 and 309.95

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Solution

The fourth proportional to 542.82, 749.00 and 309.95 is: 427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 749.00 = 309.95 : x
  2. Step 2: Convert to fraction form
    542.82/749.00 = 309.95/x
  3. Step 3: Cross multiply
    542.82x = 749.00 × 309.95
  4. Step 4: Simplify right side
    542.82x = 232,147.26
  5. Step 5: Solve for x
    x = 232,147.26/542.82
  6. Step 6: Final answer
    x = 427.67

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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.