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Finding the Fourth Proportional to 591.31, 816.01 and 325.76

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Solution

The fourth proportional to 591.31, 816.01 and 325.76 is: 449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.31 : 816.01 = 325.76 : x
  2. Step 2: Convert to fraction form
    591.31/816.01 = 325.76/x
  3. Step 3: Cross multiply
    591.31x = 816.01 × 325.76
  4. Step 4: Simplify right side
    591.31x = 265,818.52
  5. Step 5: Solve for x
    x = 265,818.52/591.31
  6. Step 6: Final answer
    x = 449.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.