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Finding the Fourth Proportional to 587.96, 811.43 and 339.21

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Solution

The fourth proportional to 587.96, 811.43 and 339.21 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.96 : 811.43 = 339.21 : x
  2. Step 2: Convert to fraction form
    587.96/811.43 = 339.21/x
  3. Step 3: Cross multiply
    587.96x = 811.43 × 339.21
  4. Step 4: Simplify right side
    587.96x = 275,245.17
  5. Step 5: Solve for x
    x = 275,245.17/587.96
  6. Step 6: Final answer
    x = 468.14

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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.