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Finding the Fourth Proportional to 528.14, 790.72 and 296.62

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Solution

The fourth proportional to 528.14, 790.72 and 296.62 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 790.72 = 296.62 : x
  2. Step 2: Convert to fraction form
    528.14/790.72 = 296.62/x
  3. Step 3: Cross multiply
    528.14x = 790.72 × 296.62
  4. Step 4: Simplify right side
    528.14x = 234,540.65
  5. Step 5: Solve for x
    x = 234,540.65/528.14
  6. Step 6: Final answer
    x = 444.09

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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.