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Finding the Fourth Proportional to 495.50, 743.37 and 170.87

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Solution

The fourth proportional to 495.50, 743.37 and 170.87 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 743.37 = 170.87 : x
  2. Step 2: Convert to fraction form
    495.50/743.37 = 170.87/x
  3. Step 3: Cross multiply
    495.50x = 743.37 × 170.87
  4. Step 4: Simplify right side
    495.50x = 127,021.81
  5. Step 5: Solve for x
    x = 127,021.81/495.50
  6. Step 6: Final answer
    x = 256.35

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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.