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Finding the Fourth Proportional to 520.74, 716.94 and 493.38

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Solution

The fourth proportional to 520.74, 716.94 and 493.38 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 716.94 = 493.38 : x
  2. Step 2: Convert to fraction form
    520.74/716.94 = 493.38/x
  3. Step 3: Cross multiply
    520.74x = 716.94 × 493.38
  4. Step 4: Simplify right side
    520.74x = 353,723.86
  5. Step 5: Solve for x
    x = 353,723.86/520.74
  6. Step 6: Final answer
    x = 679.27

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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.