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Finding the Fourth Proportional to 573.71, 791.23 and 507.35

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Solution

The fourth proportional to 573.71, 791.23 and 507.35 is: 699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.71 : 791.23 = 507.35 : x
  2. Step 2: Convert to fraction form
    573.71/791.23 = 507.35/x
  3. Step 3: Cross multiply
    573.71x = 791.23 × 507.35
  4. Step 4: Simplify right side
    573.71x = 401,430.54
  5. Step 5: Solve for x
    x = 401,430.54/573.71
  6. Step 6: Final answer
    x = 699.72

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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.