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Finding the Fourth Proportional to 520.53, 718.35 and 287.66

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Solution

The fourth proportional to 520.53, 718.35 and 287.66 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.53 : 718.35 = 287.66 : x
  2. Step 2: Convert to fraction form
    520.53/718.35 = 287.66/x
  3. Step 3: Cross multiply
    520.53x = 718.35 × 287.66
  4. Step 4: Simplify right side
    520.53x = 206,636.97
  5. Step 5: Solve for x
    x = 206,636.97/520.53
  6. Step 6: Final answer
    x = 396.97

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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.