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Finding the Fourth Proportional to 521.82, 720.12 and 300.78

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Solution

The fourth proportional to 521.82, 720.12 and 300.78 is: 415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 720.12 = 300.78 : x
  2. Step 2: Convert to fraction form
    521.82/720.12 = 300.78/x
  3. Step 3: Cross multiply
    521.82x = 720.12 × 300.78
  4. Step 4: Simplify right side
    521.82x = 216,597.69
  5. Step 5: Solve for x
    x = 216,597.69/521.82
  6. Step 6: Final answer
    x = 415.08

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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.