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Finding the Fourth Proportional to 522.88, 721.53 and 301.86

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Solution

The fourth proportional to 522.88, 721.53 and 301.86 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 721.53 = 301.86 : x
  2. Step 2: Convert to fraction form
    522.88/721.53 = 301.86/x
  3. Step 3: Cross multiply
    522.88x = 721.53 × 301.86
  4. Step 4: Simplify right side
    522.88x = 217,801.05
  5. Step 5: Solve for x
    x = 217,801.05/522.88
  6. Step 6: Final answer
    x = 416.54

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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.