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Finding the Fourth Proportional to 432.06, 647.70 and 171.90

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Solution

The fourth proportional to 432.06, 647.70 and 171.90 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 647.70 = 171.90 : x
  2. Step 2: Convert to fraction form
    432.06/647.70 = 171.90/x
  3. Step 3: Cross multiply
    432.06x = 647.70 × 171.90
  4. Step 4: Simplify right side
    432.06x = 111,339.63
  5. Step 5: Solve for x
    x = 111,339.63/432.06
  6. Step 6: Final answer
    x = 257.69

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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.