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Finding the Fourth Proportional to 542.96, 749.16 and 368.40

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Solution

The fourth proportional to 542.96, 749.16 and 368.40 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.96 : 749.16 = 368.40 : x
  2. Step 2: Convert to fraction form
    542.96/749.16 = 368.40/x
  3. Step 3: Cross multiply
    542.96x = 749.16 × 368.40
  4. Step 4: Simplify right side
    542.96x = 275,990.54
  5. Step 5: Solve for x
    x = 275,990.54/542.96
  6. Step 6: Final answer
    x = 508.31

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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.