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Finding the Fourth Proportional to 353.31, 530.49 and 277.22

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Solution

The fourth proportional to 353.31, 530.49 and 277.22 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.31 : 530.49 = 277.22 : x
  2. Step 2: Convert to fraction form
    353.31/530.49 = 277.22/x
  3. Step 3: Cross multiply
    353.31x = 530.49 × 277.22
  4. Step 4: Simplify right side
    353.31x = 147,059.79
  5. Step 5: Solve for x
    x = 147,059.79/353.31
  6. Step 6: Final answer
    x = 416.23

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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.