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Finding the Fourth Proportional to 464.05, 695.75 and 171.41

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Solution

The fourth proportional to 464.05, 695.75 and 171.41 is: 256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 695.75 = 171.41 : x
  2. Step 2: Convert to fraction form
    464.05/695.75 = 171.41/x
  3. Step 3: Cross multiply
    464.05x = 695.75 × 171.41
  4. Step 4: Simplify right side
    464.05x = 119,254.17
  5. Step 5: Solve for x
    x = 119,254.17/464.05
  6. Step 6: Final answer
    x = 256.99

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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.