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Finding the Fourth Proportional to 580.50, 800.91 and 381.65

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Solution

The fourth proportional to 580.50, 800.91 and 381.65 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 800.91 = 381.65 : x
  2. Step 2: Convert to fraction form
    580.50/800.91 = 381.65/x
  3. Step 3: Cross multiply
    580.50x = 800.91 × 381.65
  4. Step 4: Simplify right side
    580.50x = 305,663.30
  5. Step 5: Solve for x
    x = 305,663.30/580.50
  6. Step 6: Final answer
    x = 526.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.