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Finding the Fourth Proportional to 654.76, 980.85 and 380.27

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Solution

The fourth proportional to 654.76, 980.85 and 380.27 is: 569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.76 : 980.85 = 380.27 : x
  2. Step 2: Convert to fraction form
    654.76/980.85 = 380.27/x
  3. Step 3: Cross multiply
    654.76x = 980.85 × 380.27
  4. Step 4: Simplify right side
    654.76x = 372,988.38
  5. Step 5: Solve for x
    x = 372,988.38/654.76
  6. Step 6: Final answer
    x = 569.66

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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.