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Finding the Fourth Proportional to 410.92, 566.65 and 276.05

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Solution

The fourth proportional to 410.92, 566.65 and 276.05 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 566.65 = 276.05 : x
  2. Step 2: Convert to fraction form
    410.92/566.65 = 276.05/x
  3. Step 3: Cross multiply
    410.92x = 566.65 × 276.05
  4. Step 4: Simplify right side
    410.92x = 156,423.73
  5. Step 5: Solve for x
    x = 156,423.73/410.92
  6. Step 6: Final answer
    x = 380.67

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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.