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Finding the Fourth Proportional to 463.98, 695.57 and 175.22

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Solution

The fourth proportional to 463.98, 695.57 and 175.22 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 695.57 = 175.22 : x
  2. Step 2: Convert to fraction form
    463.98/695.57 = 175.22/x
  3. Step 3: Cross multiply
    463.98x = 695.57 × 175.22
  4. Step 4: Simplify right side
    463.98x = 121,877.02
  5. Step 5: Solve for x
    x = 121,877.02/463.98
  6. Step 6: Final answer
    x = 262.68

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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.