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Finding the Fourth Proportional to 293.95, 443.08 and 269.30

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Solution

The fourth proportional to 293.95, 443.08 and 269.30 is: 405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 443.08 = 269.30 : x
  2. Step 2: Convert to fraction form
    293.95/443.08 = 269.30/x
  3. Step 3: Cross multiply
    293.95x = 443.08 × 269.30
  4. Step 4: Simplify right side
    293.95x = 119,319.23
  5. Step 5: Solve for x
    x = 119,319.23/293.95
  6. Step 6: Final answer
    x = 405.92

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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.