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Finding the Fourth Proportional to 525.41, 782.10 and 517.62

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Solution

The fourth proportional to 525.41, 782.10 and 517.62 is: 770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.41 : 782.10 = 517.62 : x
  2. Step 2: Convert to fraction form
    525.41/782.10 = 517.62/x
  3. Step 3: Cross multiply
    525.41x = 782.10 × 517.62
  4. Step 4: Simplify right side
    525.41x = 404,830.60
  5. Step 5: Solve for x
    x = 404,830.60/525.41
  6. Step 6: Final answer
    x = 770.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.