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Finding the Fourth Proportional to 530.74, 796.26 and 270.58

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Solution

The fourth proportional to 530.74, 796.26 and 270.58 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.74 : 796.26 = 270.58 : x
  2. Step 2: Convert to fraction form
    530.74/796.26 = 270.58/x
  3. Step 3: Cross multiply
    530.74x = 796.26 × 270.58
  4. Step 4: Simplify right side
    530.74x = 215,452.03
  5. Step 5: Solve for x
    x = 215,452.03/530.74
  6. Step 6: Final answer
    x = 405.95

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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.