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Finding the Fourth Proportional to 345.41, 476.61 and 212.69

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Solution

The fourth proportional to 345.41, 476.61 and 212.69 is: 293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.41 : 476.61 = 212.69 : x
  2. Step 2: Convert to fraction form
    345.41/476.61 = 212.69/x
  3. Step 3: Cross multiply
    345.41x = 476.61 × 212.69
  4. Step 4: Simplify right side
    345.41x = 101,370.18
  5. Step 5: Solve for x
    x = 101,370.18/345.41
  6. Step 6: Final answer
    x = 293.48

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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.