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Finding the Fourth Proportional to 292.26, 440.14 and 263.74

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Solution

The fourth proportional to 292.26, 440.14 and 263.74 is: 397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.26 : 440.14 = 263.74 : x
  2. Step 2: Convert to fraction form
    292.26/440.14 = 263.74/x
  3. Step 3: Cross multiply
    292.26x = 440.14 × 263.74
  4. Step 4: Simplify right side
    292.26x = 116,082.52
  5. Step 5: Solve for x
    x = 116,082.52/292.26
  6. Step 6: Final answer
    x = 397.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.