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Finding the Fourth Proportional to 294.76, 440.63 and 233.20

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Solution

The fourth proportional to 294.76, 440.63 and 233.20 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.76 : 440.63 = 233.20 : x
  2. Step 2: Convert to fraction form
    294.76/440.63 = 233.20/x
  3. Step 3: Cross multiply
    294.76x = 440.63 × 233.20
  4. Step 4: Simplify right side
    294.76x = 102,754.92
  5. Step 5: Solve for x
    x = 102,754.92/294.76
  6. Step 6: Final answer
    x = 348.61

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