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Finding the Fourth Proportional to 592.21, 817.26 and 330.23

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Solution

The fourth proportional to 592.21, 817.26 and 330.23 is: 455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.21 : 817.26 = 330.23 : x
  2. Step 2: Convert to fraction form
    592.21/817.26 = 330.23/x
  3. Step 3: Cross multiply
    592.21x = 817.26 × 330.23
  4. Step 4: Simplify right side
    592.21x = 269,883.77
  5. Step 5: Solve for x
    x = 269,883.77/592.21
  6. Step 6: Final answer
    x = 455.72

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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.