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Finding the Fourth Proportional to 464.83, 696.26 and 244.76

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Solution

The fourth proportional to 464.83, 696.26 and 244.76 is: 366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 696.26 = 244.76 : x
  2. Step 2: Convert to fraction form
    464.83/696.26 = 244.76/x
  3. Step 3: Cross multiply
    464.83x = 696.26 × 244.76
  4. Step 4: Simplify right side
    464.83x = 170,417.11
  5. Step 5: Solve for x
    x = 170,417.11/464.83
  6. Step 6: Final answer
    x = 366.62

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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.