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Finding the Fourth Proportional to 562.04, 842.91 and 301.73

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Solution

The fourth proportional to 562.04, 842.91 and 301.73 is: 452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.04 : 842.91 = 301.73 : x
  2. Step 2: Convert to fraction form
    562.04/842.91 = 301.73/x
  3. Step 3: Cross multiply
    562.04x = 842.91 × 301.73
  4. Step 4: Simplify right side
    562.04x = 254,325.89
  5. Step 5: Solve for x
    x = 254,325.89/562.04
  6. Step 6: Final answer
    x = 452.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.