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Finding the Fourth Proportional to 614.81, 922.19 and 290.09

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Solution

The fourth proportional to 614.81, 922.19 and 290.09 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 922.19 = 290.09 : x
  2. Step 2: Convert to fraction form
    614.81/922.19 = 290.09/x
  3. Step 3: Cross multiply
    614.81x = 922.19 × 290.09
  4. Step 4: Simplify right side
    614.81x = 267,516.65
  5. Step 5: Solve for x
    x = 267,516.65/614.81
  6. Step 6: Final answer
    x = 435.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.