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Finding the Fourth Proportional to 471.28, 704.02 and 340.24

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Solution

The fourth proportional to 471.28, 704.02 and 340.24 is: 508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 704.02 = 340.24 : x
  2. Step 2: Convert to fraction form
    471.28/704.02 = 340.24/x
  3. Step 3: Cross multiply
    471.28x = 704.02 × 340.24
  4. Step 4: Simplify right side
    471.28x = 239,535.76
  5. Step 5: Solve for x
    x = 239,535.76/471.28
  6. Step 6: Final answer
    x = 508.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.