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Finding the Fourth Proportional to 582.36, 873.64 and 217.16

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Solution

The fourth proportional to 582.36, 873.64 and 217.16 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.36 : 873.64 = 217.16 : x
  2. Step 2: Convert to fraction form
    582.36/873.64 = 217.16/x
  3. Step 3: Cross multiply
    582.36x = 873.64 × 217.16
  4. Step 4: Simplify right side
    582.36x = 189,719.66
  5. Step 5: Solve for x
    x = 189,719.66/582.36
  6. Step 6: Final answer
    x = 325.78

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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.