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Finding the Fourth Proportional to 529.01, 793.05 and 204.15

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Solution

The fourth proportional to 529.01, 793.05 and 204.15 is: 306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.01 : 793.05 = 204.15 : x
  2. Step 2: Convert to fraction form
    529.01/793.05 = 204.15/x
  3. Step 3: Cross multiply
    529.01x = 793.05 × 204.15
  4. Step 4: Simplify right side
    529.01x = 161,901.16
  5. Step 5: Solve for x
    x = 161,901.16/529.01
  6. Step 6: Final answer
    x = 306.05

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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.