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Finding the Fourth Proportional to 575.24, 791.89 and 519.81

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Solution

The fourth proportional to 575.24, 791.89 and 519.81 is: 715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 791.89 = 519.81 : x
  2. Step 2: Convert to fraction form
    575.24/791.89 = 519.81/x
  3. Step 3: Cross multiply
    575.24x = 791.89 × 519.81
  4. Step 4: Simplify right side
    575.24x = 411,632.34
  5. Step 5: Solve for x
    x = 411,632.34/575.24
  6. Step 6: Final answer
    x = 715.58

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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.