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Finding the Fourth Proportional to 469.44, 647.68 and 272.92

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Solution

The fourth proportional to 469.44, 647.68 and 272.92 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.44 : 647.68 = 272.92 : x
  2. Step 2: Convert to fraction form
    469.44/647.68 = 272.92/x
  3. Step 3: Cross multiply
    469.44x = 647.68 × 272.92
  4. Step 4: Simplify right side
    469.44x = 176,764.83
  5. Step 5: Solve for x
    x = 176,764.83/469.44
  6. Step 6: Final answer
    x = 376.54

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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.