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Finding the Fourth Proportional to 342.74, 473.01 and 293.78

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Solution

The fourth proportional to 342.74, 473.01 and 293.78 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.74 : 473.01 = 293.78 : x
  2. Step 2: Convert to fraction form
    342.74/473.01 = 293.78/x
  3. Step 3: Cross multiply
    342.74x = 473.01 × 293.78
  4. Step 4: Simplify right side
    342.74x = 138,960.88
  5. Step 5: Solve for x
    x = 138,960.88/342.74
  6. Step 6: Final answer
    x = 405.44

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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.