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Finding the Fourth Proportional to 588.08, 811.41 and 352.10

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Solution

The fourth proportional to 588.08, 811.41 and 352.10 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.08 : 811.41 = 352.10 : x
  2. Step 2: Convert to fraction form
    588.08/811.41 = 352.10/x
  3. Step 3: Cross multiply
    588.08x = 811.41 × 352.10
  4. Step 4: Simplify right side
    588.08x = 285,699.49
  5. Step 5: Solve for x
    x = 285,699.49/588.08
  6. Step 6: Final answer
    x = 485.82

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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.