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Finding the Fourth Proportional to 653.21, 980.07 and 287.74

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Solution

The fourth proportional to 653.21, 980.07 and 287.74 is: 431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.21 : 980.07 = 287.74 : x
  2. Step 2: Convert to fraction form
    653.21/980.07 = 287.74/x
  3. Step 3: Cross multiply
    653.21x = 980.07 × 287.74
  4. Step 4: Simplify right side
    653.21x = 282,003.90
  5. Step 5: Solve for x
    x = 282,003.90/653.21
  6. Step 6: Final answer
    x = 431.72

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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.