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Finding the Fourth Proportional to 592.14, 816.18 and 467.58

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Solution

The fourth proportional to 592.14, 816.18 and 467.58 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.14 : 816.18 = 467.58 : x
  2. Step 2: Convert to fraction form
    592.14/816.18 = 467.58/x
  3. Step 3: Cross multiply
    592.14x = 816.18 × 467.58
  4. Step 4: Simplify right side
    592.14x = 381,629.44
  5. Step 5: Solve for x
    x = 381,629.44/592.14
  6. Step 6: Final answer
    x = 644.49

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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.