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Finding the Fourth Proportional to 341.52, 471.06 and 258.36

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Solution

The fourth proportional to 341.52, 471.06 and 258.36 is: 356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.52 : 471.06 = 258.36 : x
  2. Step 2: Convert to fraction form
    341.52/471.06 = 258.36/x
  3. Step 3: Cross multiply
    341.52x = 471.06 × 258.36
  4. Step 4: Simplify right side
    341.52x = 121,703.06
  5. Step 5: Solve for x
    x = 121,703.06/341.52
  6. Step 6: Final answer
    x = 356.36

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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.