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Finding the Fourth Proportional to 522.83, 721.47 and 301.61

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Solution

The fourth proportional to 522.83, 721.47 and 301.61 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.83 : 721.47 = 301.61 : x
  2. Step 2: Convert to fraction form
    522.83/721.47 = 301.61/x
  3. Step 3: Cross multiply
    522.83x = 721.47 × 301.61
  4. Step 4: Simplify right side
    522.83x = 217,602.57
  5. Step 5: Solve for x
    x = 217,602.57/522.83
  6. Step 6: Final answer
    x = 416.20

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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.