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Finding the Fourth Proportional to 582.31, 873.43 and 216.93

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Solution

The fourth proportional to 582.31, 873.43 and 216.93 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 873.43 = 216.93 : x
  2. Step 2: Convert to fraction form
    582.31/873.43 = 216.93/x
  3. Step 3: Cross multiply
    582.31x = 873.43 × 216.93
  4. Step 4: Simplify right side
    582.31x = 189,472.63
  5. Step 5: Solve for x
    x = 189,472.63/582.31
  6. Step 6: Final answer
    x = 325.38

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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.