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Finding the Fourth Proportional to 394.64, 592.35 and 296.80

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Solution

The fourth proportional to 394.64, 592.35 and 296.80 is: 445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.64 : 592.35 = 296.80 : x
  2. Step 2: Convert to fraction form
    394.64/592.35 = 296.80/x
  3. Step 3: Cross multiply
    394.64x = 592.35 × 296.80
  4. Step 4: Simplify right side
    394.64x = 175,806.89
  5. Step 5: Solve for x
    x = 175,806.89/394.64
  6. Step 6: Final answer
    x = 445.49

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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.