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Finding the Fourth Proportional to 528.02, 792.64 and 311.75

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Solution

The fourth proportional to 528.02, 792.64 and 311.75 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.02 : 792.64 = 311.75 : x
  2. Step 2: Convert to fraction form
    528.02/792.64 = 311.75/x
  3. Step 3: Cross multiply
    528.02x = 792.64 × 311.75
  4. Step 4: Simplify right side
    528.02x = 247,105.52
  5. Step 5: Solve for x
    x = 247,105.52/528.02
  6. Step 6: Final answer
    x = 467.99

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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.