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Finding the Fourth Proportional to 471.02, 704.01 and 424.64

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Solution

The fourth proportional to 471.02, 704.01 and 424.64 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 704.01 = 424.64 : x
  2. Step 2: Convert to fraction form
    471.02/704.01 = 424.64/x
  3. Step 3: Cross multiply
    471.02x = 704.01 × 424.64
  4. Step 4: Simplify right side
    471.02x = 298,947.29
  5. Step 5: Solve for x
    x = 298,947.29/471.02
  6. Step 6: Final answer
    x = 634.69

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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.