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Finding the Fourth Proportional to 264.30, 394.57 and 236.76

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Solution

The fourth proportional to 264.30, 394.57 and 236.76 is: 353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.30 : 394.57 = 236.76 : x
  2. Step 2: Convert to fraction form
    264.30/394.57 = 236.76/x
  3. Step 3: Cross multiply
    264.30x = 394.57 × 236.76
  4. Step 4: Simplify right side
    264.30x = 93,418.39
  5. Step 5: Solve for x
    x = 93,418.39/264.30
  6. Step 6: Final answer
    x = 353.46

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Why These Related Problems?

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