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Finding the Fourth Proportional to 530.86, 796.13 and 206.15

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Solution

The fourth proportional to 530.86, 796.13 and 206.15 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 796.13 = 206.15 : x
  2. Step 2: Convert to fraction form
    530.86/796.13 = 206.15/x
  3. Step 3: Cross multiply
    530.86x = 796.13 × 206.15
  4. Step 4: Simplify right side
    530.86x = 164,122.20
  5. Step 5: Solve for x
    x = 164,122.20/530.86
  6. Step 6: Final answer
    x = 309.16

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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.