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Finding the Fourth Proportional to 557.98, 836.34 and 269.08

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Solution

The fourth proportional to 557.98, 836.34 and 269.08 is: 403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.98 : 836.34 = 269.08 : x
  2. Step 2: Convert to fraction form
    557.98/836.34 = 269.08/x
  3. Step 3: Cross multiply
    557.98x = 836.34 × 269.08
  4. Step 4: Simplify right side
    557.98x = 225,042.37
  5. Step 5: Solve for x
    x = 225,042.37/557.98
  6. Step 6: Final answer
    x = 403.32

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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.