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Finding the Fourth Proportional to 294.66, 406.80 and 246.06

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Solution

The fourth proportional to 294.66, 406.80 and 246.06 is: 339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 406.80 = 246.06 : x
  2. Step 2: Convert to fraction form
    294.66/406.80 = 246.06/x
  3. Step 3: Cross multiply
    294.66x = 406.80 × 246.06
  4. Step 4: Simplify right side
    294.66x = 100,097.21
  5. Step 5: Solve for x
    x = 100,097.21/294.66
  6. Step 6: Final answer
    x = 339.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.