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Finding the Fourth Proportional to 557.85, 836.97 and 338.92

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Solution

The fourth proportional to 557.85, 836.97 and 338.92 is: 508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.85 : 836.97 = 338.92 : x
  2. Step 2: Convert to fraction form
    557.85/836.97 = 338.92/x
  3. Step 3: Cross multiply
    557.85x = 836.97 × 338.92
  4. Step 4: Simplify right side
    557.85x = 283,663.22
  5. Step 5: Solve for x
    x = 283,663.22/557.85
  6. Step 6: Final answer
    x = 508.50

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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.