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Finding the Fourth Proportional to 551.21, 824.43 and 319.52

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Solution

The fourth proportional to 551.21, 824.43 and 319.52 is: 477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.21 : 824.43 = 319.52 : x
  2. Step 2: Convert to fraction form
    551.21/824.43 = 319.52/x
  3. Step 3: Cross multiply
    551.21x = 824.43 × 319.52
  4. Step 4: Simplify right side
    551.21x = 263,421.87
  5. Step 5: Solve for x
    x = 263,421.87/551.21
  6. Step 6: Final answer
    x = 477.90

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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.