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Finding the Fourth Proportional to 520.30, 774.56 and 517.58

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Solution

The fourth proportional to 520.30, 774.56 and 517.58 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 774.56 = 517.58 : x
  2. Step 2: Convert to fraction form
    520.30/774.56 = 517.58/x
  3. Step 3: Cross multiply
    520.30x = 774.56 × 517.58
  4. Step 4: Simplify right side
    520.30x = 400,896.76
  5. Step 5: Solve for x
    x = 400,896.76/520.30
  6. Step 6: Final answer
    x = 770.51

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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.