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Finding the Fourth Proportional to 467.88, 700.47 and 323.16

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Solution

The fourth proportional to 467.88, 700.47 and 323.16 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.88 : 700.47 = 323.16 : x
  2. Step 2: Convert to fraction form
    467.88/700.47 = 323.16/x
  3. Step 3: Cross multiply
    467.88x = 700.47 × 323.16
  4. Step 4: Simplify right side
    467.88x = 226,363.89
  5. Step 5: Solve for x
    x = 226,363.89/467.88
  6. Step 6: Final answer
    x = 483.81

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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.