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Finding the Fourth Proportional to 264.24, 394.02 and 260.94

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Solution

The fourth proportional to 264.24, 394.02 and 260.94 is: 389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 394.02 = 260.94 : x
  2. Step 2: Convert to fraction form
    264.24/394.02 = 260.94/x
  3. Step 3: Cross multiply
    264.24x = 394.02 × 260.94
  4. Step 4: Simplify right side
    264.24x = 102,815.58
  5. Step 5: Solve for x
    x = 102,815.58/264.24
  6. Step 6: Final answer
    x = 389.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.