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Finding the Fourth Proportional to 520.20, 779.49 and 438.66

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Solution

The fourth proportional to 520.20, 779.49 and 438.66 is: 657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 779.49 = 438.66 : x
  2. Step 2: Convert to fraction form
    520.20/779.49 = 438.66/x
  3. Step 3: Cross multiply
    520.20x = 779.49 × 438.66
  4. Step 4: Simplify right side
    520.20x = 341,931.08
  5. Step 5: Solve for x
    x = 341,931.08/520.20
  6. Step 6: Final answer
    x = 657.31

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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.