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Finding the Fourth Proportional to 582.40, 873.66 and 217.09

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Solution

The fourth proportional to 582.40, 873.66 and 217.09 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.40 : 873.66 = 217.09 : x
  2. Step 2: Convert to fraction form
    582.40/873.66 = 217.09/x
  3. Step 3: Cross multiply
    582.40x = 873.66 × 217.09
  4. Step 4: Simplify right side
    582.40x = 189,662.85
  5. Step 5: Solve for x
    x = 189,662.85/582.40
  6. Step 6: Final answer
    x = 325.66

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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.