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Finding the Fourth Proportional to 582.24, 873.18 and 211.99

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Solution

The fourth proportional to 582.24, 873.18 and 211.99 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 873.18 = 211.99 : x
  2. Step 2: Convert to fraction form
    582.24/873.18 = 211.99/x
  3. Step 3: Cross multiply
    582.24x = 873.18 × 211.99
  4. Step 4: Simplify right side
    582.24x = 185,104.37
  5. Step 5: Solve for x
    x = 185,104.37/582.24
  6. Step 6: Final answer
    x = 317.92

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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.