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Finding the Fourth Proportional to 342.20, 472.74 and 316.28

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Solution

The fourth proportional to 342.20, 472.74 and 316.28 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 472.74 = 316.28 : x
  2. Step 2: Convert to fraction form
    342.20/472.74 = 316.28/x
  3. Step 3: Cross multiply
    342.20x = 472.74 × 316.28
  4. Step 4: Simplify right side
    342.20x = 149,518.21
  5. Step 5: Solve for x
    x = 149,518.21/342.20
  6. Step 6: Final answer
    x = 436.93

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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.