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Finding the Fourth Proportional to 482.91, 666.27 and 296.10

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Solution

The fourth proportional to 482.91, 666.27 and 296.10 is: 408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.91 : 666.27 = 296.10 : x
  2. Step 2: Convert to fraction form
    482.91/666.27 = 296.10/x
  3. Step 3: Cross multiply
    482.91x = 666.27 × 296.10
  4. Step 4: Simplify right side
    482.91x = 197,282.73
  5. Step 5: Solve for x
    x = 197,282.73/482.91
  6. Step 6: Final answer
    x = 408.53

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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.