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Finding the Fourth Proportional to 530.62, 796.74 and 206.62

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Solution

The fourth proportional to 530.62, 796.74 and 206.62 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.62 : 796.74 = 206.62 : x
  2. Step 2: Convert to fraction form
    530.62/796.74 = 206.62/x
  3. Step 3: Cross multiply
    530.62x = 796.74 × 206.62
  4. Step 4: Simplify right side
    530.62x = 164,622.42
  5. Step 5: Solve for x
    x = 164,622.42/530.62
  6. Step 6: Final answer
    x = 310.25

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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.