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Finding the Fourth Proportional to 464.76, 696.96 and 204.66

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Solution

The fourth proportional to 464.76, 696.96 and 204.66 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 696.96 = 204.66 : x
  2. Step 2: Convert to fraction form
    464.76/696.96 = 204.66/x
  3. Step 3: Cross multiply
    464.76x = 696.96 × 204.66
  4. Step 4: Simplify right side
    464.76x = 142,639.83
  5. Step 5: Solve for x
    x = 142,639.83/464.76
  6. Step 6: Final answer
    x = 306.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.