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Finding the Fourth Proportional to 528.11, 792.13 and 296.86

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Solution

The fourth proportional to 528.11, 792.13 and 296.86 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.11 : 792.13 = 296.86 : x
  2. Step 2: Convert to fraction form
    528.11/792.13 = 296.86/x
  3. Step 3: Cross multiply
    528.11x = 792.13 × 296.86
  4. Step 4: Simplify right side
    528.11x = 235,151.71
  5. Step 5: Solve for x
    x = 235,151.71/528.11
  6. Step 6: Final answer
    x = 445.27

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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.