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Finding the Fourth Proportional to 587.83, 811.22 and 378.09

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Solution

The fourth proportional to 587.83, 811.22 and 378.09 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.83 : 811.22 = 378.09 : x
  2. Step 2: Convert to fraction form
    587.83/811.22 = 378.09/x
  3. Step 3: Cross multiply
    587.83x = 811.22 × 378.09
  4. Step 4: Simplify right side
    587.83x = 306,714.17
  5. Step 5: Solve for x
    x = 306,714.17/587.83
  6. Step 6: Final answer
    x = 521.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.