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Finding the Fourth Proportional to 530.04, 794.95 and 200.97

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Solution

The fourth proportional to 530.04, 794.95 and 200.97 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 794.95 = 200.97 : x
  2. Step 2: Convert to fraction form
    530.04/794.95 = 200.97/x
  3. Step 3: Cross multiply
    530.04x = 794.95 × 200.97
  4. Step 4: Simplify right side
    530.04x = 159,760.60
  5. Step 5: Solve for x
    x = 159,760.60/530.04
  6. Step 6: Final answer
    x = 301.41

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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.