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Finding the Fourth Proportional to 523.74, 727.50 and 515.37

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Solution

The fourth proportional to 523.74, 727.50 and 515.37 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 727.50 = 515.37 : x
  2. Step 2: Convert to fraction form
    523.74/727.50 = 515.37/x
  3. Step 3: Cross multiply
    523.74x = 727.50 × 515.37
  4. Step 4: Simplify right side
    523.74x = 374,934.38
  5. Step 5: Solve for x
    x = 374,934.38/523.74
  6. Step 6: Final answer
    x = 715.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.