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Finding the Fourth Proportional to 527.92, 792.38 and 297.07

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Solution

The fourth proportional to 527.92, 792.38 and 297.07 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 792.38 = 297.07 : x
  2. Step 2: Convert to fraction form
    527.92/792.38 = 297.07/x
  3. Step 3: Cross multiply
    527.92x = 792.38 × 297.07
  4. Step 4: Simplify right side
    527.92x = 235,391.09
  5. Step 5: Solve for x
    x = 235,391.09/527.92
  6. Step 6: Final answer
    x = 445.89

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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.