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Finding the Fourth Proportional to 464.42, 696.51 and 269.00

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Solution

The fourth proportional to 464.42, 696.51 and 269.00 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 696.51 = 269.00 : x
  2. Step 2: Convert to fraction form
    464.42/696.51 = 269.00/x
  3. Step 3: Cross multiply
    464.42x = 696.51 × 269.00
  4. Step 4: Simplify right side
    464.42x = 187,357.71
  5. Step 5: Solve for x
    x = 187,357.71/464.42
  6. Step 6: Final answer
    x = 403.43

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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.