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Finding the Fourth Proportional to 582.42, 873.66 and 217.08

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Solution

The fourth proportional to 582.42, 873.66 and 217.08 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 873.66 = 217.08 : x
  2. Step 2: Convert to fraction form
    582.42/873.66 = 217.08/x
  3. Step 3: Cross multiply
    582.42x = 873.66 × 217.08
  4. Step 4: Simplify right side
    582.42x = 189,654.11
  5. Step 5: Solve for x
    x = 189,654.11/582.42
  6. Step 6: Final answer
    x = 325.63

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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.