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Finding the Fourth Proportional to 653.88, 980.86 and 243.15

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Solution

The fourth proportional to 653.88, 980.86 and 243.15 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 980.86 = 243.15 : x
  2. Step 2: Convert to fraction form
    653.88/980.86 = 243.15/x
  3. Step 3: Cross multiply
    653.88x = 980.86 × 243.15
  4. Step 4: Simplify right side
    653.88x = 238,496.11
  5. Step 5: Solve for x
    x = 238,496.11/653.88
  6. Step 6: Final answer
    x = 364.74

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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.