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Finding the Fourth Proportional to 528.71, 793.33 and 204.17

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Solution

The fourth proportional to 528.71, 793.33 and 204.17 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.71 : 793.33 = 204.17 : x
  2. Step 2: Convert to fraction form
    528.71/793.33 = 204.17/x
  3. Step 3: Cross multiply
    528.71x = 793.33 × 204.17
  4. Step 4: Simplify right side
    528.71x = 161,969.71
  5. Step 5: Solve for x
    x = 161,969.71/528.71
  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.