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Finding the Fourth Proportional to 432.27, 647.25 and 277.35

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Solution

The fourth proportional to 432.27, 647.25 and 277.35 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 647.25 = 277.35 : x
  2. Step 2: Convert to fraction form
    432.27/647.25 = 277.35/x
  3. Step 3: Cross multiply
    432.27x = 647.25 × 277.35
  4. Step 4: Simplify right side
    432.27x = 179,514.79
  5. Step 5: Solve for x
    x = 179,514.79/432.27
  6. Step 6: Final answer
    x = 415.28

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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.