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Finding the Fourth Proportional to 464.57, 696.71 and 172.10

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Solution

The fourth proportional to 464.57, 696.71 and 172.10 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 696.71 = 172.10 : x
  2. Step 2: Convert to fraction form
    464.57/696.71 = 172.10/x
  3. Step 3: Cross multiply
    464.57x = 696.71 × 172.10
  4. Step 4: Simplify right side
    464.57x = 119,899.45
  5. Step 5: Solve for x
    x = 119,899.45/464.57
  6. Step 6: Final answer
    x = 258.09

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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.