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Finding the Fourth Proportional to 615.92, 849.96 and 354.08

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Solution

The fourth proportional to 615.92, 849.96 and 354.08 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.92 : 849.96 = 354.08 : x
  2. Step 2: Convert to fraction form
    615.92/849.96 = 354.08/x
  3. Step 3: Cross multiply
    615.92x = 849.96 × 354.08
  4. Step 4: Simplify right side
    615.92x = 300,953.84
  5. Step 5: Solve for x
    x = 300,953.84/615.92
  6. Step 6: Final answer
    x = 488.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.