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Finding the Fourth Proportional to 588.21, 810.99 and 431.07

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Solution

The fourth proportional to 588.21, 810.99 and 431.07 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 810.99 = 431.07 : x
  2. Step 2: Convert to fraction form
    588.21/810.99 = 431.07/x
  3. Step 3: Cross multiply
    588.21x = 810.99 × 431.07
  4. Step 4: Simplify right side
    588.21x = 349,593.46
  5. Step 5: Solve for x
    x = 349,593.46/588.21
  6. Step 6: Final answer
    x = 594.33

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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.