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Finding the Fourth Proportional to 520.68, 718.44 and 287.76

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Solution

The fourth proportional to 520.68, 718.44 and 287.76 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.68 : 718.44 = 287.76 : x
  2. Step 2: Convert to fraction form
    520.68/718.44 = 287.76/x
  3. Step 3: Cross multiply
    520.68x = 718.44 × 287.76
  4. Step 4: Simplify right side
    520.68x = 206,738.29
  5. Step 5: Solve for x
    x = 206,738.29/520.68
  6. Step 6: Final answer
    x = 397.05

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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.