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Finding the Fourth Proportional to 574.16, 792.52 and 367.16

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Solution

The fourth proportional to 574.16, 792.52 and 367.16 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 792.52 = 367.16 : x
  2. Step 2: Convert to fraction form
    574.16/792.52 = 367.16/x
  3. Step 3: Cross multiply
    574.16x = 792.52 × 367.16
  4. Step 4: Simplify right side
    574.16x = 290,981.64
  5. Step 5: Solve for x
    x = 290,981.64/574.16
  6. Step 6: Final answer
    x = 506.80

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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.