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Finding the Fourth Proportional to 582.14, 872.66 and 216.82

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Solution

The fourth proportional to 582.14, 872.66 and 216.82 is: 325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 872.66 = 216.82 : x
  2. Step 2: Convert to fraction form
    582.14/872.66 = 216.82/x
  3. Step 3: Cross multiply
    582.14x = 872.66 × 216.82
  4. Step 4: Simplify right side
    582.14x = 189,210.14
  5. Step 5: Solve for x
    x = 189,210.14/582.14
  6. Step 6: Final answer
    x = 325.03

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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.