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Finding the Fourth Proportional to 464.18, 695.85 and 175.41

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Solution

The fourth proportional to 464.18, 695.85 and 175.41 is: 262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.18 : 695.85 = 175.41 : x
  2. Step 2: Convert to fraction form
    464.18/695.85 = 175.41/x
  3. Step 3: Cross multiply
    464.18x = 695.85 × 175.41
  4. Step 4: Simplify right side
    464.18x = 122,059.05
  5. Step 5: Solve for x
    x = 122,059.05/464.18
  6. Step 6: Final answer
    x = 262.96

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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.