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Finding the Fourth Proportional to 653.88, 980.53 and 263.56

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Solution

The fourth proportional to 653.88, 980.53 and 263.56 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 980.53 = 263.56 : x
  2. Step 2: Convert to fraction form
    653.88/980.53 = 263.56/x
  3. Step 3: Cross multiply
    653.88x = 980.53 × 263.56
  4. Step 4: Simplify right side
    653.88x = 258,427.17
  5. Step 5: Solve for x
    x = 258,427.17/653.88
  6. Step 6: Final answer
    x = 395.22

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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.