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Finding the Fourth Proportional to 519.95, 779.80 and 300.10

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Solution

The fourth proportional to 519.95, 779.80 and 300.10 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.95 : 779.80 = 300.10 : x
  2. Step 2: Convert to fraction form
    519.95/779.80 = 300.10/x
  3. Step 3: Cross multiply
    519.95x = 779.80 × 300.10
  4. Step 4: Simplify right side
    519.95x = 234,017.98
  5. Step 5: Solve for x
    x = 234,017.98/519.95
  6. Step 6: Final answer
    x = 450.08

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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.