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Finding the Fourth Proportional to 528.47, 792.83 and 203.84

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Solution

The fourth proportional to 528.47, 792.83 and 203.84 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.47 : 792.83 = 203.84 : x
  2. Step 2: Convert to fraction form
    528.47/792.83 = 203.84/x
  3. Step 3: Cross multiply
    528.47x = 792.83 × 203.84
  4. Step 4: Simplify right side
    528.47x = 161,605.48
  5. Step 5: Solve for x
    x = 161,605.48/528.47
  6. Step 6: Final answer
    x = 305.80

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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.