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Finding the Fourth Proportional to 588.04, 811.52 and 339.36

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Solution

The fourth proportional to 588.04, 811.52 and 339.36 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.04 : 811.52 = 339.36 : x
  2. Step 2: Convert to fraction form
    588.04/811.52 = 339.36/x
  3. Step 3: Cross multiply
    588.04x = 811.52 × 339.36
  4. Step 4: Simplify right side
    588.04x = 275,397.43
  5. Step 5: Solve for x
    x = 275,397.43/588.04
  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.