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Finding the Fourth Proportional to 467.82, 650.07 and 462.77

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Solution

The fourth proportional to 467.82, 650.07 and 462.77 is: 643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 650.07 = 462.77 : x
  2. Step 2: Convert to fraction form
    467.82/650.07 = 462.77/x
  3. Step 3: Cross multiply
    467.82x = 650.07 × 462.77
  4. Step 4: Simplify right side
    467.82x = 300,829.64
  5. Step 5: Solve for x
    x = 300,829.64/467.82
  6. Step 6: Final answer
    x = 643.05

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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.