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Finding the Fourth Proportional to 582.78, 874.20 and 254.10

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Solution

The fourth proportional to 582.78, 874.20 and 254.10 is: 381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 874.20 = 254.10 : x
  2. Step 2: Convert to fraction form
    582.78/874.20 = 254.10/x
  3. Step 3: Cross multiply
    582.78x = 874.20 × 254.10
  4. Step 4: Simplify right side
    582.78x = 222,134.22
  5. Step 5: Solve for x
    x = 222,134.22/582.78
  6. Step 6: Final answer
    x = 381.16

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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.