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Finding the Fourth Proportional to 521.92, 720.16 and 289

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Solution

The fourth proportional to 521.92, 720.16 and 289 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 720.16 = 289 : x
  2. Step 2: Convert to fraction form
    521.92/720.16 = 289/x
  3. Step 3: Cross multiply
    521.92x = 720.16 × 289
  4. Step 4: Simplify right side
    521.92x = 208,126.24
  5. Step 5: Solve for x
    x = 208,126.24/521.92
  6. Step 6: Final answer
    x = 398.77

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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.