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Finding the Fourth Proportional to 394.27, 588.72 and 352.87

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Solution

The fourth proportional to 394.27, 588.72 and 352.87 is: 526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 588.72 = 352.87 : x
  2. Step 2: Convert to fraction form
    394.27/588.72 = 352.87/x
  3. Step 3: Cross multiply
    394.27x = 588.72 × 352.87
  4. Step 4: Simplify right side
    394.27x = 207,740.74
  5. Step 5: Solve for x
    x = 207,740.74/394.27
  6. Step 6: Final answer
    x = 526.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.