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Finding the Fourth Proportional to 341.46, 471.96 and 258.84

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Solution

The fourth proportional to 341.46, 471.96 and 258.84 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 471.96 = 258.84 : x
  2. Step 2: Convert to fraction form
    341.46/471.96 = 258.84/x
  3. Step 3: Cross multiply
    341.46x = 471.96 × 258.84
  4. Step 4: Simplify right side
    341.46x = 122,162.13
  5. Step 5: Solve for x
    x = 122,162.13/341.46
  6. Step 6: Final answer
    x = 357.76

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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.