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Finding the Fourth Proportional to 394.84, 591.12 and 357.92

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Solution

The fourth proportional to 394.84, 591.12 and 357.92 is: 535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.84 : 591.12 = 357.92 : x
  2. Step 2: Convert to fraction form
    394.84/591.12 = 357.92/x
  3. Step 3: Cross multiply
    394.84x = 591.12 × 357.92
  4. Step 4: Simplify right side
    394.84x = 211,573.67
  5. Step 5: Solve for x
    x = 211,573.67/394.84
  6. Step 6: Final answer
    x = 535.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.