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Finding the Fourth Proportional to 341.03, 470.72 and 216.83

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Solution

The fourth proportional to 341.03, 470.72 and 216.83 is: 299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.03 : 470.72 = 216.83 : x
  2. Step 2: Convert to fraction form
    341.03/470.72 = 216.83/x
  3. Step 3: Cross multiply
    341.03x = 470.72 × 216.83
  4. Step 4: Simplify right side
    341.03x = 102,065.13
  5. Step 5: Solve for x
    x = 102,065.13/341.03
  6. Step 6: Final answer
    x = 299.28

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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.