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Finding the Fourth Proportional to 551.08, 825.86 and 319.82

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Solution

The fourth proportional to 551.08, 825.86 and 319.82 is: 479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.08 : 825.86 = 319.82 : x
  2. Step 2: Convert to fraction form
    551.08/825.86 = 319.82/x
  3. Step 3: Cross multiply
    551.08x = 825.86 × 319.82
  4. Step 4: Simplify right side
    551.08x = 264,126.55
  5. Step 5: Solve for x
    x = 264,126.55/551.08
  6. Step 6: Final answer
    x = 479.29

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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.