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Finding the Fourth Proportional to 522.96, 721.62 and 301.86

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Solution

The fourth proportional to 522.96, 721.62 and 301.86 is: 416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 721.62 = 301.86 : x
  2. Step 2: Convert to fraction form
    522.96/721.62 = 301.86/x
  3. Step 3: Cross multiply
    522.96x = 721.62 × 301.86
  4. Step 4: Simplify right side
    522.96x = 217,828.21
  5. Step 5: Solve for x
    x = 217,828.21/522.96
  6. Step 6: Final answer
    x = 416.53

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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.