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Finding the Fourth Proportional to 592.12, 817.05 and 330.10

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Solution

The fourth proportional to 592.12, 817.05 and 330.10 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 817.05 = 330.10 : x
  2. Step 2: Convert to fraction form
    592.12/817.05 = 330.10/x
  3. Step 3: Cross multiply
    592.12x = 817.05 × 330.10
  4. Step 4: Simplify right side
    592.12x = 269,708.21
  5. Step 5: Solve for x
    x = 269,708.21/592.12
  6. Step 6: Final answer
    x = 455.50

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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.