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Finding the Fourth Proportional to 446.61, 670.17 and 172.63

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Solution

The fourth proportional to 446.61, 670.17 and 172.63 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.61 : 670.17 = 172.63 : x
  2. Step 2: Convert to fraction form
    446.61/670.17 = 172.63/x
  3. Step 3: Cross multiply
    446.61x = 670.17 × 172.63
  4. Step 4: Simplify right side
    446.61x = 115,692.93
  5. Step 5: Solve for x
    x = 115,692.93/446.61
  6. Step 6: Final answer
    x = 259.04

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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.