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Finding the Fourth Proportional to 463.74, 695.73 and 175.02

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Solution

The fourth proportional to 463.74, 695.73 and 175.02 is: 262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.74 : 695.73 = 175.02 : x
  2. Step 2: Convert to fraction form
    463.74/695.73 = 175.02/x
  3. Step 3: Cross multiply
    463.74x = 695.73 × 175.02
  4. Step 4: Simplify right side
    463.74x = 121,766.66
  5. Step 5: Solve for x
    x = 121,766.66/463.74
  6. Step 6: Final answer
    x = 262.58

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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.