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Finding the Fourth Proportional to 456.81, 684.90 and 292.38

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Solution

The fourth proportional to 456.81, 684.90 and 292.38 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 684.90 = 292.38 : x
  2. Step 2: Convert to fraction form
    456.81/684.90 = 292.38/x
  3. Step 3: Cross multiply
    456.81x = 684.90 × 292.38
  4. Step 4: Simplify right side
    456.81x = 200,251.06
  5. Step 5: Solve for x
    x = 200,251.06/456.81
  6. Step 6: Final answer
    x = 438.37

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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.