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Finding the Fourth Proportional to 542.10, 812.19 and 370.26

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Solution

The fourth proportional to 542.10, 812.19 and 370.26 is: 554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 812.19 = 370.26 : x
  2. Step 2: Convert to fraction form
    542.10/812.19 = 370.26/x
  3. Step 3: Cross multiply
    542.10x = 812.19 × 370.26
  4. Step 4: Simplify right side
    542.10x = 300,721.47
  5. Step 5: Solve for x
    x = 300,721.47/542.10
  6. Step 6: Final answer
    x = 554.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.