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Finding the Fourth Proportional to 432.01, 647.07 and 269.34

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Solution

The fourth proportional to 432.01, 647.07 and 269.34 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.01 : 647.07 = 269.34 : x
  2. Step 2: Convert to fraction form
    432.01/647.07 = 269.34/x
  3. Step 3: Cross multiply
    432.01x = 647.07 × 269.34
  4. Step 4: Simplify right side
    432.01x = 174,281.83
  5. Step 5: Solve for x
    x = 174,281.83/432.01
  6. Step 6: Final answer
    x = 403.42

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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.