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Finding the Fourth Proportional to 653.70, 980.68 and 288.48

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Solution

The fourth proportional to 653.70, 980.68 and 288.48 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.70 : 980.68 = 288.48 : x
  2. Step 2: Convert to fraction form
    653.70/980.68 = 288.48/x
  3. Step 3: Cross multiply
    653.70x = 980.68 × 288.48
  4. Step 4: Simplify right side
    653.70x = 282,905.12
  5. Step 5: Solve for x
    x = 282,905.12/653.70
  6. Step 6: Final answer
    x = 432.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.