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Finding the Fourth Proportional to 588.05, 810.97 and 367.02

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Solution

The fourth proportional to 588.05, 810.97 and 367.02 is: 506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 810.97 = 367.02 : x
  2. Step 2: Convert to fraction form
    588.05/810.97 = 367.02/x
  3. Step 3: Cross multiply
    588.05x = 810.97 × 367.02
  4. Step 4: Simplify right side
    588.05x = 297,642.21
  5. Step 5: Solve for x
    x = 297,642.21/588.05
  6. Step 6: Final answer
    x = 506.15

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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.