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Finding the Fourth Proportional to 467.49, 700.16 and 451.29

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Solution

The fourth proportional to 467.49, 700.16 and 451.29 is: 675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.49 : 700.16 = 451.29 : x
  2. Step 2: Convert to fraction form
    467.49/700.16 = 451.29/x
  3. Step 3: Cross multiply
    467.49x = 700.16 × 451.29
  4. Step 4: Simplify right side
    467.49x = 315,972.95
  5. Step 5: Solve for x
    x = 315,972.95/467.49
  6. Step 6: Final answer
    x = 675.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.