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Finding the Fourth Proportional to 264.04, 364.74 and 234.76

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Solution

The fourth proportional to 264.04, 364.74 and 234.76 is: 324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.04 : 364.74 = 234.76 : x
  2. Step 2: Convert to fraction form
    264.04/364.74 = 234.76/x
  3. Step 3: Cross multiply
    264.04x = 364.74 × 234.76
  4. Step 4: Simplify right side
    264.04x = 85,626.36
  5. Step 5: Solve for x
    x = 85,626.36/264.04
  6. Step 6: Final answer
    x = 324.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.