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Finding the Fourth Proportional to 342.95, 473.18 and 255.47

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Solution

The fourth proportional to 342.95, 473.18 and 255.47 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.95 : 473.18 = 255.47 : x
  2. Step 2: Convert to fraction form
    342.95/473.18 = 255.47/x
  3. Step 3: Cross multiply
    342.95x = 473.18 × 255.47
  4. Step 4: Simplify right side
    342.95x = 120,879.65
  5. Step 5: Solve for x
    x = 120,879.65/342.95
  6. Step 6: Final answer
    x = 352.48

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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.