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Finding the Fourth Proportional to 538.52, 807.24 and 264.20

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Solution

The fourth proportional to 538.52, 807.24 and 264.20 is: 396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.52 : 807.24 = 264.20 : x
  2. Step 2: Convert to fraction form
    538.52/807.24 = 264.20/x
  3. Step 3: Cross multiply
    538.52x = 807.24 × 264.20
  4. Step 4: Simplify right side
    538.52x = 213,272.81
  5. Step 5: Solve for x
    x = 213,272.81/538.52
  6. Step 6: Final answer
    x = 396.04

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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.