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Finding the Fourth Proportional to 587.82, 811.06 and 339.06

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Solution

The fourth proportional to 587.82, 811.06 and 339.06 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 811.06 = 339.06 : x
  2. Step 2: Convert to fraction form
    587.82/811.06 = 339.06/x
  3. Step 3: Cross multiply
    587.82x = 811.06 × 339.06
  4. Step 4: Simplify right side
    587.82x = 274,997.16
  5. Step 5: Solve for x
    x = 274,997.16/587.82
  6. Step 6: Final answer
    x = 467.83

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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.