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Finding the Fourth Proportional to 521.88, 720.18 and 285.84

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Solution

The fourth proportional to 521.88, 720.18 and 285.84 is: 394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 720.18 = 285.84 : x
  2. Step 2: Convert to fraction form
    521.88/720.18 = 285.84/x
  3. Step 3: Cross multiply
    521.88x = 720.18 × 285.84
  4. Step 4: Simplify right side
    521.88x = 205,856.25
  5. Step 5: Solve for x
    x = 205,856.25/521.88
  6. Step 6: Final answer
    x = 394.45

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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.