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Finding the Fourth Proportional to 530.22, 794.86 and 205.52

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Solution

The fourth proportional to 530.22, 794.86 and 205.52 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 794.86 = 205.52 : x
  2. Step 2: Convert to fraction form
    530.22/794.86 = 205.52/x
  3. Step 3: Cross multiply
    530.22x = 794.86 × 205.52
  4. Step 4: Simplify right side
    530.22x = 163,355.14
  5. Step 5: Solve for x
    x = 163,355.14/530.22
  6. Step 6: Final answer
    x = 308.09

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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.