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Finding the Fourth Proportional to 592.62, 817.82 and 330.63

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Solution

The fourth proportional to 592.62, 817.82 and 330.63 is: 456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 817.82 = 330.63 : x
  2. Step 2: Convert to fraction form
    592.62/817.82 = 330.63/x
  3. Step 3: Cross multiply
    592.62x = 817.82 × 330.63
  4. Step 4: Simplify right side
    592.62x = 270,395.83
  5. Step 5: Solve for x
    x = 270,395.83/592.62
  6. Step 6: Final answer
    x = 456.27

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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.