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Finding the Fourth Proportional to 521.85, 720.13 and 297.79

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Solution

The fourth proportional to 521.85, 720.13 and 297.79 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.85 : 720.13 = 297.79 : x
  2. Step 2: Convert to fraction form
    521.85/720.13 = 297.79/x
  3. Step 3: Cross multiply
    521.85x = 720.13 × 297.79
  4. Step 4: Simplify right side
    521.85x = 214,449.58
  5. Step 5: Solve for x
    x = 214,449.58/521.85
  6. Step 6: Final answer
    x = 410.94

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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.