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Finding the Fourth Proportional to 522.28, 782.61 and 329.50

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Solution

The fourth proportional to 522.28, 782.61 and 329.50 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.28 : 782.61 = 329.50 : x
  2. Step 2: Convert to fraction form
    522.28/782.61 = 329.50/x
  3. Step 3: Cross multiply
    522.28x = 782.61 × 329.50
  4. Step 4: Simplify right side
    522.28x = 257,870.00
  5. Step 5: Solve for x
    x = 257,870.00/522.28
  6. Step 6: Final answer
    x = 493.74

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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.