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Finding the Fourth Proportional to 580.06, 800.19 and 380.87

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Solution

The fourth proportional to 580.06, 800.19 and 380.87 is: 525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.06 : 800.19 = 380.87 : x
  2. Step 2: Convert to fraction form
    580.06/800.19 = 380.87/x
  3. Step 3: Cross multiply
    580.06x = 800.19 × 380.87
  4. Step 4: Simplify right side
    580.06x = 304,765.37
  5. Step 5: Solve for x
    x = 304,765.37/580.06
  6. Step 6: Final answer
    x = 525.40

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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.