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Finding the Fourth Proportional to 528.65, 793.09 and 204.02

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Solution

The fourth proportional to 528.65, 793.09 and 204.02 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.65 : 793.09 = 204.02 : x
  2. Step 2: Convert to fraction form
    528.65/793.09 = 204.02/x
  3. Step 3: Cross multiply
    528.65x = 793.09 × 204.02
  4. Step 4: Simplify right side
    528.65x = 161,806.22
  5. Step 5: Solve for x
    x = 161,806.22/528.65
  6. Step 6: Final answer
    x = 306.07

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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.