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Finding the Fourth Proportional to 294.33, 440.82 and 256.13

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Solution

The fourth proportional to 294.33, 440.82 and 256.13 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 440.82 = 256.13 : x
  2. Step 2: Convert to fraction form
    294.33/440.82 = 256.13/x
  3. Step 3: Cross multiply
    294.33x = 440.82 × 256.13
  4. Step 4: Simplify right side
    294.33x = 112,907.23
  5. Step 5: Solve for x
    x = 112,907.23/294.33
  6. Step 6: Final answer
    x = 383.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.