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Finding the Fourth Proportional to 294.64, 439.02 and 262.31

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Solution

The fourth proportional to 294.64, 439.02 and 262.31 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 439.02 = 262.31 : x
  2. Step 2: Convert to fraction form
    294.64/439.02 = 262.31/x
  3. Step 3: Cross multiply
    294.64x = 439.02 × 262.31
  4. Step 4: Simplify right side
    294.64x = 115,160.85
  5. Step 5: Solve for x
    x = 115,160.85/294.64
  6. Step 6: Final answer
    x = 390.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.