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Finding the Fourth Proportional to 653.91, 980.77 and 380.13

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Solution

The fourth proportional to 653.91, 980.77 and 380.13 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 980.77 = 380.13 : x
  2. Step 2: Convert to fraction form
    653.91/980.77 = 380.13/x
  3. Step 3: Cross multiply
    653.91x = 980.77 × 380.13
  4. Step 4: Simplify right side
    653.91x = 372,820.10
  5. Step 5: Solve for x
    x = 372,820.10/653.91
  6. Step 6: Final answer
    x = 570.14

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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.