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Finding the Fourth Proportional to 345.52, 477.31 and 276.04

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Solution

The fourth proportional to 345.52, 477.31 and 276.04 is: 381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 477.31 = 276.04 : x
  2. Step 2: Convert to fraction form
    345.52/477.31 = 276.04/x
  3. Step 3: Cross multiply
    345.52x = 477.31 × 276.04
  4. Step 4: Simplify right side
    345.52x = 131,756.65
  5. Step 5: Solve for x
    x = 131,756.65/345.52
  6. Step 6: Final answer
    x = 381.33

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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.