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Finding the Fourth Proportional to 473.28, 653.22 and 286.89

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Solution

The fourth proportional to 473.28, 653.22 and 286.89 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 653.22 = 286.89 : x
  2. Step 2: Convert to fraction form
    473.28/653.22 = 286.89/x
  3. Step 3: Cross multiply
    473.28x = 653.22 × 286.89
  4. Step 4: Simplify right side
    473.28x = 187,402.29
  5. Step 5: Solve for x
    x = 187,402.29/473.28
  6. Step 6: Final answer
    x = 395.96

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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.