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Finding the Fourth Proportional to 514.52, 772.34 and 206.58

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Solution

The fourth proportional to 514.52, 772.34 and 206.58 is: 310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.52 : 772.34 = 206.58 : x
  2. Step 2: Convert to fraction form
    514.52/772.34 = 206.58/x
  3. Step 3: Cross multiply
    514.52x = 772.34 × 206.58
  4. Step 4: Simplify right side
    514.52x = 159,551.86
  5. Step 5: Solve for x
    x = 159,551.86/514.52
  6. Step 6: Final answer
    x = 310.10

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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.