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Finding the Fourth Proportional to 341.02, 470.28 and 229.24

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Solution

The fourth proportional to 341.02, 470.28 and 229.24 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 470.28 = 229.24 : x
  2. Step 2: Convert to fraction form
    341.02/470.28 = 229.24/x
  3. Step 3: Cross multiply
    341.02x = 470.28 × 229.24
  4. Step 4: Simplify right side
    341.02x = 107,806.99
  5. Step 5: Solve for x
    x = 107,806.99/341.02
  6. Step 6: Final answer
    x = 316.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.