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Finding the Fourth Proportional to 573.92, 792.24 and 366.88

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Solution

The fourth proportional to 573.92, 792.24 and 366.88 is: 506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.92 : 792.24 = 366.88 : x
  2. Step 2: Convert to fraction form
    573.92/792.24 = 366.88/x
  3. Step 3: Cross multiply
    573.92x = 792.24 × 366.88
  4. Step 4: Simplify right side
    573.92x = 290,657.01
  5. Step 5: Solve for x
    x = 290,657.01/573.92
  6. Step 6: Final answer
    x = 506.44

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1.5x scale

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.