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Finding the Fourth Proportional to 582.16, 873.22 and 338.20

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Solution

The fourth proportional to 582.16, 873.22 and 338.20 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 873.22 = 338.20 : x
  2. Step 2: Convert to fraction form
    582.16/873.22 = 338.20/x
  3. Step 3: Cross multiply
    582.16x = 873.22 × 338.20
  4. Step 4: Simplify right side
    582.16x = 295,323.00
  5. Step 5: Solve for x
    x = 295,323.00/582.16
  6. Step 6: Final answer
    x = 507.29

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