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Finding the Fourth Proportional to 653.74, 980.78 and 243.00

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Solution

The fourth proportional to 653.74, 980.78 and 243.00 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 980.78 = 243.00 : x
  2. Step 2: Convert to fraction form
    653.74/980.78 = 243.00/x
  3. Step 3: Cross multiply
    653.74x = 980.78 × 243.00
  4. Step 4: Simplify right side
    653.74x = 238,324.64
  5. Step 5: Solve for x
    x = 238,324.64/653.74
  6. Step 6: Final answer
    x = 364.56

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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.