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Finding the Fourth Proportional to 588.16, 811.54 and 339.42

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Solution

The fourth proportional to 588.16, 811.54 and 339.42 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 811.54 = 339.42 : x
  2. Step 2: Convert to fraction form
    588.16/811.54 = 339.42/x
  3. Step 3: Cross multiply
    588.16x = 811.54 × 339.42
  4. Step 4: Simplify right side
    588.16x = 275,452.91
  5. Step 5: Solve for x
    x = 275,452.91/588.16
  6. Step 6: Final answer
    x = 468.33

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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.