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Finding the Fourth Proportional to 530.73, 796.01 and 140.71

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Solution

The fourth proportional to 530.73, 796.01 and 140.71 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.73 : 796.01 = 140.71 : x
  2. Step 2: Convert to fraction form
    530.73/796.01 = 140.71/x
  3. Step 3: Cross multiply
    530.73x = 796.01 × 140.71
  4. Step 4: Simplify right side
    530.73x = 112,008.99
  5. Step 5: Solve for x
    x = 112,008.99/530.73
  6. Step 6: Final answer
    x = 211.05

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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.