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Finding the Fourth Proportional to 460.77, 690.94 and 172

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Solution

The fourth proportional to 460.77, 690.94 and 172 is: 257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.77 : 690.94 = 172 : x
  2. Step 2: Convert to fraction form
    460.77/690.94 = 172/x
  3. Step 3: Cross multiply
    460.77x = 690.94 × 172
  4. Step 4: Simplify right side
    460.77x = 118,841.68
  5. Step 5: Solve for x
    x = 118,841.68/460.77
  6. Step 6: Final answer
    x = 257.92

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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.