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Finding the Fourth Proportional to 467.82, 704.53 and 426.30

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Solution

The fourth proportional to 467.82, 704.53 and 426.30 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 704.53 = 426.30 : x
  2. Step 2: Convert to fraction form
    467.82/704.53 = 426.30/x
  3. Step 3: Cross multiply
    467.82x = 704.53 × 426.30
  4. Step 4: Simplify right side
    467.82x = 300,341.14
  5. Step 5: Solve for x
    x = 300,341.14/467.82
  6. Step 6: Final answer
    x = 642.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.