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Finding the Fourth Proportional to 432.25, 647.77 and 197.70

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Solution

The fourth proportional to 432.25, 647.77 and 197.70 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 647.77 = 197.70 : x
  2. Step 2: Convert to fraction form
    432.25/647.77 = 197.70/x
  3. Step 3: Cross multiply
    432.25x = 647.77 × 197.70
  4. Step 4: Simplify right side
    432.25x = 128,064.13
  5. Step 5: Solve for x
    x = 128,064.13/432.25
  6. Step 6: Final answer
    x = 296.27

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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.