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Finding the Fourth Proportional to 294.38, 405.31 and 285.06

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Solution

The fourth proportional to 294.38, 405.31 and 285.06 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 405.31 = 285.06 : x
  2. Step 2: Convert to fraction form
    294.38/405.31 = 285.06/x
  3. Step 3: Cross multiply
    294.38x = 405.31 × 285.06
  4. Step 4: Simplify right side
    294.38x = 115,536.24
  5. Step 5: Solve for x
    x = 115,536.24/294.38
  6. Step 6: Final answer
    x = 392.48

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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.