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Finding the Fourth Proportional to 538.64, 808.36 and 355.96

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Solution

The fourth proportional to 538.64, 808.36 and 355.96 is: 534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 808.36 = 355.96 : x
  2. Step 2: Convert to fraction form
    538.64/808.36 = 355.96/x
  3. Step 3: Cross multiply
    538.64x = 808.36 × 355.96
  4. Step 4: Simplify right side
    538.64x = 287,743.83
  5. Step 5: Solve for x
    x = 287,743.83/538.64
  6. Step 6: Final answer
    x = 534.20

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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.