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Finding the Fourth Proportional to 653.42, 980.17 and 379.31

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Solution

The fourth proportional to 653.42, 980.17 and 379.31 is: 568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 980.17 = 379.31 : x
  2. Step 2: Convert to fraction form
    653.42/980.17 = 379.31/x
  3. Step 3: Cross multiply
    653.42x = 980.17 × 379.31
  4. Step 4: Simplify right side
    653.42x = 371,782.43
  5. Step 5: Solve for x
    x = 371,782.43/653.42
  6. Step 6: Final answer
    x = 568.98

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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.