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Finding the Fourth Proportional to 294.32, 440.97 and 264.26

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Solution

The fourth proportional to 294.32, 440.97 and 264.26 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.32 : 440.97 = 264.26 : x
  2. Step 2: Convert to fraction form
    294.32/440.97 = 264.26/x
  3. Step 3: Cross multiply
    294.32x = 440.97 × 264.26
  4. Step 4: Simplify right side
    294.32x = 116,528.53
  5. Step 5: Solve for x
    x = 116,528.53/294.32
  6. Step 6: Final answer
    x = 395.93

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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.