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Finding the Fourth Proportional to 574.04, 792.77 and 399.08

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Solution

The fourth proportional to 574.04, 792.77 and 399.08 is: 551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.04 : 792.77 = 399.08 : x
  2. Step 2: Convert to fraction form
    574.04/792.77 = 399.08/x
  3. Step 3: Cross multiply
    574.04x = 792.77 × 399.08
  4. Step 4: Simplify right side
    574.04x = 316,378.65
  5. Step 5: Solve for x
    x = 316,378.65/574.04
  6. Step 6: Final answer
    x = 551.14

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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.