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Finding the Fourth Proportional to 653.82, 980.49 and 242.82

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Solution

The fourth proportional to 653.82, 980.49 and 242.82 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 980.49 = 242.82 : x
  2. Step 2: Convert to fraction form
    653.82/980.49 = 242.82/x
  3. Step 3: Cross multiply
    653.82x = 980.49 × 242.82
  4. Step 4: Simplify right side
    653.82x = 238,082.58
  5. Step 5: Solve for x
    x = 238,082.58/653.82
  6. Step 6: Final answer
    x = 364.14

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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.