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Finding the Fourth Proportional to 520.97, 720.63 and 490.37

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Solution

The fourth proportional to 520.97, 720.63 and 490.37 is: 678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.97 : 720.63 = 490.37 : x
  2. Step 2: Convert to fraction form
    520.97/720.63 = 490.37/x
  3. Step 3: Cross multiply
    520.97x = 720.63 × 490.37
  4. Step 4: Simplify right side
    520.97x = 353,371.73
  5. Step 5: Solve for x
    x = 353,371.73/520.97
  6. Step 6: Final answer
    x = 678.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.