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Finding the Fourth Proportional to 520.49, 781.45 and 443.95

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Solution

The fourth proportional to 520.49, 781.45 and 443.95 is: 666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.49 : 781.45 = 443.95 : x
  2. Step 2: Convert to fraction form
    520.49/781.45 = 443.95/x
  3. Step 3: Cross multiply
    520.49x = 781.45 × 443.95
  4. Step 4: Simplify right side
    520.49x = 346,921.66
  5. Step 5: Solve for x
    x = 346,921.66/520.49
  6. Step 6: Final answer
    x = 666.53

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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.