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Finding the Fourth Proportional to 294.64, 443.56 and 269.52

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Solution

The fourth proportional to 294.64, 443.56 and 269.52 is: 405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 443.56 = 269.52 : x
  2. Step 2: Convert to fraction form
    294.64/443.56 = 269.52/x
  3. Step 3: Cross multiply
    294.64x = 443.56 × 269.52
  4. Step 4: Simplify right side
    294.64x = 119,548.29
  5. Step 5: Solve for x
    x = 119,548.29/294.64
  6. Step 6: Final answer
    x = 405.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.