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Finding the Fourth Proportional to 341.31, 469.83 and 258.22

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Solution

The fourth proportional to 341.31, 469.83 and 258.22 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 469.83 = 258.22 : x
  2. Step 2: Convert to fraction form
    341.31/469.83 = 258.22/x
  3. Step 3: Cross multiply
    341.31x = 469.83 × 258.22
  4. Step 4: Simplify right side
    341.31x = 121,321.06
  5. Step 5: Solve for x
    x = 121,321.06/341.31
  6. Step 6: Final answer
    x = 355.45

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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.