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Finding the Fourth Proportional to 562.83, 844.76 and 406.81

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Solution

The fourth proportional to 562.83, 844.76 and 406.81 is: 610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.83 : 844.76 = 406.81 : x
  2. Step 2: Convert to fraction form
    562.83/844.76 = 406.81/x
  3. Step 3: Cross multiply
    562.83x = 844.76 × 406.81
  4. Step 4: Simplify right side
    562.83x = 343,656.82
  5. Step 5: Solve for x
    x = 343,656.82/562.83
  6. Step 6: Final answer
    x = 610.59

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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.