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Finding the Fourth Proportional to 549.58, 824.36 and 159.58

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Solution

The fourth proportional to 549.58, 824.36 and 159.58 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.58 : 824.36 = 159.58 : x
  2. Step 2: Convert to fraction form
    549.58/824.36 = 159.58/x
  3. Step 3: Cross multiply
    549.58x = 824.36 × 159.58
  4. Step 4: Simplify right side
    549.58x = 131,551.37
  5. Step 5: Solve for x
    x = 131,551.37/549.58
  6. Step 6: Final answer
    x = 239.37

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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.