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Finding the Fourth Proportional to 464.51, 696.90 and 175.97

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Solution

The fourth proportional to 464.51, 696.90 and 175.97 is: 264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 696.90 = 175.97 : x
  2. Step 2: Convert to fraction form
    464.51/696.90 = 175.97/x
  3. Step 3: Cross multiply
    464.51x = 696.90 × 175.97
  4. Step 4: Simplify right side
    464.51x = 122,633.49
  5. Step 5: Solve for x
    x = 122,633.49/464.51
  6. Step 6: Final answer
    x = 264.01

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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.