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Finding the Fourth Proportional to 514.84, 772.08 and 206.80

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Solution

The fourth proportional to 514.84, 772.08 and 206.80 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.84 : 772.08 = 206.80 : x
  2. Step 2: Convert to fraction form
    514.84/772.08 = 206.80/x
  3. Step 3: Cross multiply
    514.84x = 772.08 × 206.80
  4. Step 4: Simplify right side
    514.84x = 159,666.14
  5. Step 5: Solve for x
    x = 159,666.14/514.84
  6. Step 6: Final answer
    x = 310.13

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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.