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Finding the Fourth Proportional to 519.70, 779.14 and 356.90

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Solution

The fourth proportional to 519.70, 779.14 and 356.90 is: 535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 779.14 = 356.90 : x
  2. Step 2: Convert to fraction form
    519.70/779.14 = 356.90/x
  3. Step 3: Cross multiply
    519.70x = 779.14 × 356.90
  4. Step 4: Simplify right side
    519.70x = 278,075.07
  5. Step 5: Solve for x
    x = 278,075.07/519.70
  6. Step 6: Final answer
    x = 535.07

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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.