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Finding the Fourth Proportional to 342.42, 473.13 and 276.81

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Solution

The fourth proportional to 342.42, 473.13 and 276.81 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 473.13 = 276.81 : x
  2. Step 2: Convert to fraction form
    342.42/473.13 = 276.81/x
  3. Step 3: Cross multiply
    342.42x = 473.13 × 276.81
  4. Step 4: Simplify right side
    342.42x = 130,967.12
  5. Step 5: Solve for x
    x = 130,967.12/342.42
  6. Step 6: Final answer
    x = 382.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.