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Finding the Fourth Proportional to 341.86, 471.69 and 210.78

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Solution

The fourth proportional to 341.86, 471.69 and 210.78 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.86 : 471.69 = 210.78 : x
  2. Step 2: Convert to fraction form
    341.86/471.69 = 210.78/x
  3. Step 3: Cross multiply
    341.86x = 471.69 × 210.78
  4. Step 4: Simplify right side
    341.86x = 99,422.82
  5. Step 5: Solve for x
    x = 99,422.82/341.86
  6. Step 6: Final answer
    x = 290.83

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