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Finding the Fourth Proportional to 467.52, 700.24 and 322.80

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Solution

The fourth proportional to 467.52, 700.24 and 322.80 is: 483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 700.24 = 322.80 : x
  2. Step 2: Convert to fraction form
    467.52/700.24 = 322.80/x
  3. Step 3: Cross multiply
    467.52x = 700.24 × 322.80
  4. Step 4: Simplify right side
    467.52x = 226,037.47
  5. Step 5: Solve for x
    x = 226,037.47/467.52
  6. Step 6: Final answer
    x = 483.48

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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.