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Finding the Fourth Proportional to 520.53, 718.31 and 284.46

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Solution

The fourth proportional to 520.53, 718.31 and 284.46 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.53 : 718.31 = 284.46 : x
  2. Step 2: Convert to fraction form
    520.53/718.31 = 284.46/x
  3. Step 3: Cross multiply
    520.53x = 718.31 × 284.46
  4. Step 4: Simplify right side
    520.53x = 204,330.46
  5. Step 5: Solve for x
    x = 204,330.46/520.53
  6. Step 6: Final answer
    x = 392.54

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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.