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Finding the Fourth Proportional to 588.87, 811.65 and 431.46

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Solution

The fourth proportional to 588.87, 811.65 and 431.46 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 811.65 = 431.46 : x
  2. Step 2: Convert to fraction form
    588.87/811.65 = 431.46/x
  3. Step 3: Cross multiply
    588.87x = 811.65 × 431.46
  4. Step 4: Simplify right side
    588.87x = 350,194.51
  5. Step 5: Solve for x
    x = 350,194.51/588.87
  6. Step 6: Final answer
    x = 594.69

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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.