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Finding the Fourth Proportional to 345.06, 475.01 and 261.96

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Solution

The fourth proportional to 345.06, 475.01 and 261.96 is: 360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 475.01 = 261.96 : x
  2. Step 2: Convert to fraction form
    345.06/475.01 = 261.96/x
  3. Step 3: Cross multiply
    345.06x = 475.01 × 261.96
  4. Step 4: Simplify right side
    345.06x = 124,432.31
  5. Step 5: Solve for x
    x = 124,432.31/345.06
  6. Step 6: Final answer
    x = 360.61

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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.