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Finding the Fourth Proportional to 530.30, 794.26 and 270.38

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Solution

The fourth proportional to 530.30, 794.26 and 270.38 is: 404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.30 : 794.26 = 270.38 : x
  2. Step 2: Convert to fraction form
    530.30/794.26 = 270.38/x
  3. Step 3: Cross multiply
    530.30x = 794.26 × 270.38
  4. Step 4: Simplify right side
    530.30x = 214,752.02
  5. Step 5: Solve for x
    x = 214,752.02/530.30
  6. Step 6: Final answer
    x = 404.96

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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.