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Finding the Fourth Proportional to 312.31, 430.41 and 242.25

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Solution

The fourth proportional to 312.31, 430.41 and 242.25 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 430.41 = 242.25 : x
  2. Step 2: Convert to fraction form
    312.31/430.41 = 242.25/x
  3. Step 3: Cross multiply
    312.31x = 430.41 × 242.25
  4. Step 4: Simplify right side
    312.31x = 104,266.82
  5. Step 5: Solve for x
    x = 104,266.82/312.31
  6. Step 6: Final answer
    x = 333.86

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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.