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Finding the Fourth Proportional to 588.49, 811.78 and 367.06

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Solution

The fourth proportional to 588.49, 811.78 and 367.06 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.49 : 811.78 = 367.06 : x
  2. Step 2: Convert to fraction form
    588.49/811.78 = 367.06/x
  3. Step 3: Cross multiply
    588.49x = 811.78 × 367.06
  4. Step 4: Simplify right side
    588.49x = 297,967.91
  5. Step 5: Solve for x
    x = 297,967.91/588.49
  6. Step 6: Final answer
    x = 506.33

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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.