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Finding the Fourth Proportional to 582.20, 873.42 and 338.22

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Solution

The fourth proportional to 582.20, 873.42 and 338.22 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 873.42 = 338.22 : x
  2. Step 2: Convert to fraction form
    582.20/873.42 = 338.22/x
  3. Step 3: Cross multiply
    582.20x = 873.42 × 338.22
  4. Step 4: Simplify right side
    582.20x = 295,408.11
  5. Step 5: Solve for x
    x = 295,408.11/582.20
  6. Step 6: Final answer
    x = 507.40

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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.