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Finding the Fourth Proportional to 520.42, 718.19 and 284.37

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Solution

The fourth proportional to 520.42, 718.19 and 284.37 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.42 : 718.19 = 284.37 : x
  2. Step 2: Convert to fraction form
    520.42/718.19 = 284.37/x
  3. Step 3: Cross multiply
    520.42x = 718.19 × 284.37
  4. Step 4: Simplify right side
    520.42x = 204,231.69
  5. Step 5: Solve for x
    x = 204,231.69/520.42
  6. Step 6: Final answer
    x = 392.44

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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.