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Finding the Fourth Proportional to 528.53, 792.33 and 284.77

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Solution

The fourth proportional to 528.53, 792.33 and 284.77 is: 426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.53 : 792.33 = 284.77 : x
  2. Step 2: Convert to fraction form
    528.53/792.33 = 284.77/x
  3. Step 3: Cross multiply
    528.53x = 792.33 × 284.77
  4. Step 4: Simplify right side
    528.53x = 225,628.88
  5. Step 5: Solve for x
    x = 225,628.88/528.53
  6. Step 6: Final answer
    x = 426.90

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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.