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Finding the Fourth Proportional to 514.77, 772.97 and 298.50

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Solution

The fourth proportional to 514.77, 772.97 and 298.50 is: 448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.77 : 772.97 = 298.50 : x
  2. Step 2: Convert to fraction form
    514.77/772.97 = 298.50/x
  3. Step 3: Cross multiply
    514.77x = 772.97 × 298.50
  4. Step 4: Simplify right side
    514.77x = 230,730.05
  5. Step 5: Solve for x
    x = 230,730.05/514.77
  6. Step 6: Final answer
    x = 448.22

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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.