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Finding the Fourth Proportional to 530.53, 794.34 and 273.49

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Solution

The fourth proportional to 530.53, 794.34 and 273.49 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 794.34 = 273.49 : x
  2. Step 2: Convert to fraction form
    530.53/794.34 = 273.49/x
  3. Step 3: Cross multiply
    530.53x = 794.34 × 273.49
  4. Step 4: Simplify right side
    530.53x = 217,244.05
  5. Step 5: Solve for x
    x = 217,244.05/530.53
  6. Step 6: Final answer
    x = 409.48

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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.