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Finding the Fourth Proportional to 538.08, 808.24 and 332.88

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Solution

The fourth proportional to 538.08, 808.24 and 332.88 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 808.24 = 332.88 : x
  2. Step 2: Convert to fraction form
    538.08/808.24 = 332.88/x
  3. Step 3: Cross multiply
    538.08x = 808.24 × 332.88
  4. Step 4: Simplify right side
    538.08x = 269,046.93
  5. Step 5: Solve for x
    x = 269,046.93/538.08
  6. Step 6: Final answer
    x = 500.01

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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.