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Finding the Fourth Proportional to 467.07, 649.03 and 462.02

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Solution

The fourth proportional to 467.07, 649.03 and 462.02 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 649.03 = 462.02 : x
  2. Step 2: Convert to fraction form
    467.07/649.03 = 462.02/x
  3. Step 3: Cross multiply
    467.07x = 649.03 × 462.02
  4. Step 4: Simplify right side
    467.07x = 299,860.44
  5. Step 5: Solve for x
    x = 299,860.44/467.07
  6. Step 6: Final answer
    x = 642.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.