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Finding the Fourth Proportional to 530.35, 794.95 and 221.97

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Solution

The fourth proportional to 530.35, 794.95 and 221.97 is: 332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 794.95 = 221.97 : x
  2. Step 2: Convert to fraction form
    530.35/794.95 = 221.97/x
  3. Step 3: Cross multiply
    530.35x = 794.95 × 221.97
  4. Step 4: Simplify right side
    530.35x = 176,455.05
  5. Step 5: Solve for x
    x = 176,455.05/530.35
  6. Step 6: Final answer
    x = 332.71

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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.