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Finding the Fourth Proportional to 293.02, 441.48 and 265.24

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Solution

The fourth proportional to 293.02, 441.48 and 265.24 is: 399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.02 : 441.48 = 265.24 : x
  2. Step 2: Convert to fraction form
    293.02/441.48 = 265.24/x
  3. Step 3: Cross multiply
    293.02x = 441.48 × 265.24
  4. Step 4: Simplify right side
    293.02x = 117,098.16
  5. Step 5: Solve for x
    x = 117,098.16/293.02
  6. Step 6: Final answer
    x = 399.63

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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.