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Finding the Fourth Proportional to 342.81, 473.04 and 305.82

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Solution

The fourth proportional to 342.81, 473.04 and 305.82 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 473.04 = 305.82 : x
  2. Step 2: Convert to fraction form
    342.81/473.04 = 305.82/x
  3. Step 3: Cross multiply
    342.81x = 473.04 × 305.82
  4. Step 4: Simplify right side
    342.81x = 144,665.09
  5. Step 5: Solve for x
    x = 144,665.09/342.81
  6. Step 6: Final answer
    x = 422.00

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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.