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Finding the Fourth Proportional to 520.14, 779.71 and 259.75

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Solution

The fourth proportional to 520.14, 779.71 and 259.75 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.14 : 779.71 = 259.75 : x
  2. Step 2: Convert to fraction form
    520.14/779.71 = 259.75/x
  3. Step 3: Cross multiply
    520.14x = 779.71 × 259.75
  4. Step 4: Simplify right side
    520.14x = 202,531.58
  5. Step 5: Solve for x
    x = 202,531.58/520.14
  6. Step 6: Final answer
    x = 389.38

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1.5x scale

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.