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Finding the Fourth Proportional to 528.94, 793.23 and 204.28

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Solution

The fourth proportional to 528.94, 793.23 and 204.28 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 793.23 = 204.28 : x
  2. Step 2: Convert to fraction form
    528.94/793.23 = 204.28/x
  3. Step 3: Cross multiply
    528.94x = 793.23 × 204.28
  4. Step 4: Simplify right side
    528.94x = 162,041.02
  5. Step 5: Solve for x
    x = 162,041.02/528.94
  6. Step 6: Final answer
    x = 306.35

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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.