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Finding the Fourth Proportional to 294.32, 405.78 and 244.58

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Solution

The fourth proportional to 294.32, 405.78 and 244.58 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.32 : 405.78 = 244.58 : x
  2. Step 2: Convert to fraction form
    294.32/405.78 = 244.58/x
  3. Step 3: Cross multiply
    294.32x = 405.78 × 244.58
  4. Step 4: Simplify right side
    294.32x = 99,242.73
  5. Step 5: Solve for x
    x = 99,242.73/294.32
  6. Step 6: Final answer
    x = 337.19

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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.