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Finding the Fourth Proportional to 343.86, 473.51 and 284.41

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Solution

The fourth proportional to 343.86, 473.51 and 284.41 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 473.51 = 284.41 : x
  2. Step 2: Convert to fraction form
    343.86/473.51 = 284.41/x
  3. Step 3: Cross multiply
    343.86x = 473.51 × 284.41
  4. Step 4: Simplify right side
    343.86x = 134,670.98
  5. Step 5: Solve for x
    x = 134,670.98/343.86
  6. Step 6: Final answer
    x = 391.64

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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.