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Finding the Fourth Proportional to 582.22, 872.20 and 347.22

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Solution

The fourth proportional to 582.22, 872.20 and 347.22 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 872.20 = 347.22 : x
  2. Step 2: Convert to fraction form
    582.22/872.20 = 347.22/x
  3. Step 3: Cross multiply
    582.22x = 872.20 × 347.22
  4. Step 4: Simplify right side
    582.22x = 302,845.72
  5. Step 5: Solve for x
    x = 302,845.72/582.22
  6. Step 6: Final answer
    x = 520.16

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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.