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Finding the Fourth Proportional to 343.15, 473.06 and 290.48

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Solution

The fourth proportional to 343.15, 473.06 and 290.48 is: 400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.15 : 473.06 = 290.48 : x
  2. Step 2: Convert to fraction form
    343.15/473.06 = 290.48/x
  3. Step 3: Cross multiply
    343.15x = 473.06 × 290.48
  4. Step 4: Simplify right side
    343.15x = 137,414.47
  5. Step 5: Solve for x
    x = 137,414.47/343.15
  6. Step 6: Final answer
    x = 400.46

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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.