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Finding the Fourth Proportional to 446.62, 670.06 and 172.72

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Solution

The fourth proportional to 446.62, 670.06 and 172.72 is: 259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.62 : 670.06 = 172.72 : x
  2. Step 2: Convert to fraction form
    446.62/670.06 = 172.72/x
  3. Step 3: Cross multiply
    446.62x = 670.06 × 172.72
  4. Step 4: Simplify right side
    446.62x = 115,732.76
  5. Step 5: Solve for x
    x = 115,732.76/446.62
  6. Step 6: Final answer
    x = 259.13

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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.