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Finding the Fourth Proportional to 575.91, 794.52 and 408.10

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Solution

The fourth proportional to 575.91, 794.52 and 408.10 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.91 : 794.52 = 408.10 : x
  2. Step 2: Convert to fraction form
    575.91/794.52 = 408.10/x
  3. Step 3: Cross multiply
    575.91x = 794.52 × 408.10
  4. Step 4: Simplify right side
    575.91x = 324,243.61
  5. Step 5: Solve for x
    x = 324,243.61/575.91
  6. Step 6: Final answer
    x = 563.01

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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.