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Finding the Fourth Proportional to 522.66, 783.17 and 329.88

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Solution

The fourth proportional to 522.66, 783.17 and 329.88 is: 494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 783.17 = 329.88 : x
  2. Step 2: Convert to fraction form
    522.66/783.17 = 329.88/x
  3. Step 3: Cross multiply
    522.66x = 783.17 × 329.88
  4. Step 4: Simplify right side
    522.66x = 258,352.12
  5. Step 5: Solve for x
    x = 258,352.12/522.66
  6. Step 6: Final answer
    x = 494.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.