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Finding the Fourth Proportional to 542.08, 812.77 and 233.77

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Solution

The fourth proportional to 542.08, 812.77 and 233.77 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 812.77 = 233.77 : x
  2. Step 2: Convert to fraction form
    542.08/812.77 = 233.77/x
  3. Step 3: Cross multiply
    542.08x = 812.77 × 233.77
  4. Step 4: Simplify right side
    542.08x = 190,001.24
  5. Step 5: Solve for x
    x = 190,001.24/542.08
  6. Step 6: Final answer
    x = 350.50

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Why These Related Problems?

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