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Finding the Fourth Proportional to 550.58, 824.45 and 364.91

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Solution

The fourth proportional to 550.58, 824.45 and 364.91 is: 546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.58 : 824.45 = 364.91 : x
  2. Step 2: Convert to fraction form
    550.58/824.45 = 364.91/x
  3. Step 3: Cross multiply
    550.58x = 824.45 × 364.91
  4. Step 4: Simplify right side
    550.58x = 300,844.10
  5. Step 5: Solve for x
    x = 300,844.10/550.58
  6. Step 6: Final answer
    x = 546.42

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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.