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Finding the Fourth Proportional to 530.76, 796.34 and 206.13

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Solution

The fourth proportional to 530.76, 796.34 and 206.13 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 796.34 = 206.13 : x
  2. Step 2: Convert to fraction form
    530.76/796.34 = 206.13/x
  3. Step 3: Cross multiply
    530.76x = 796.34 × 206.13
  4. Step 4: Simplify right side
    530.76x = 164,149.56
  5. Step 5: Solve for x
    x = 164,149.56/530.76
  6. Step 6: Final answer
    x = 309.27

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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.