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Finding the Fourth Proportional to 464.47, 696.85 and 172.13

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Solution

The fourth proportional to 464.47, 696.85 and 172.13 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 696.85 = 172.13 : x
  2. Step 2: Convert to fraction form
    464.47/696.85 = 172.13/x
  3. Step 3: Cross multiply
    464.47x = 696.85 × 172.13
  4. Step 4: Simplify right side
    464.47x = 119,944.88
  5. Step 5: Solve for x
    x = 119,944.88/464.47
  6. Step 6: Final answer
    x = 258.24

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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.