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Finding the Fourth Proportional to 588.31, 811.95 and 423.07

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Solution

The fourth proportional to 588.31, 811.95 and 423.07 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.31 : 811.95 = 423.07 : x
  2. Step 2: Convert to fraction form
    588.31/811.95 = 423.07/x
  3. Step 3: Cross multiply
    588.31x = 811.95 × 423.07
  4. Step 4: Simplify right side
    588.31x = 343,511.69
  5. Step 5: Solve for x
    x = 343,511.69/588.31
  6. Step 6: Final answer
    x = 583.90

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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.