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Finding the Fourth Proportional to 528.21, 792.59 and 203.67

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Solution

The fourth proportional to 528.21, 792.59 and 203.67 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.21 : 792.59 = 203.67 : x
  2. Step 2: Convert to fraction form
    528.21/792.59 = 203.67/x
  3. Step 3: Cross multiply
    528.21x = 792.59 × 203.67
  4. Step 4: Simplify right side
    528.21x = 161,425.79
  5. Step 5: Solve for x
    x = 161,425.79/528.21
  6. Step 6: Final answer
    x = 305.61

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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.