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Finding the Fourth Proportional to 592.31, 816.78 and 467.71

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Solution

The fourth proportional to 592.31, 816.78 and 467.71 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.31 : 816.78 = 467.71 : x
  2. Step 2: Convert to fraction form
    592.31/816.78 = 467.71/x
  3. Step 3: Cross multiply
    592.31x = 816.78 × 467.71
  4. Step 4: Simplify right side
    592.31x = 382,015.89
  5. Step 5: Solve for x
    x = 382,015.89/592.31
  6. Step 6: Final answer
    x = 644.96

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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.