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Finding the Fourth Proportional to 341.20, 470.60 and 253.84

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Solution

The fourth proportional to 341.20, 470.60 and 253.84 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.20 : 470.60 = 253.84 : x
  2. Step 2: Convert to fraction form
    341.20/470.60 = 253.84/x
  3. Step 3: Cross multiply
    341.20x = 470.60 × 253.84
  4. Step 4: Simplify right side
    341.20x = 119,457.10
  5. Step 5: Solve for x
    x = 119,457.10/341.20
  6. Step 6: Final answer
    x = 350.11

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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.