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Finding the Fourth Proportional to 432.72, 648.71 and 201.50

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Solution

The fourth proportional to 432.72, 648.71 and 201.50 is: 302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 648.71 = 201.50 : x
  2. Step 2: Convert to fraction form
    432.72/648.71 = 201.50/x
  3. Step 3: Cross multiply
    432.72x = 648.71 × 201.50
  4. Step 4: Simplify right side
    432.72x = 130,710.81
  5. Step 5: Solve for x
    x = 130,710.81/432.72
  6. Step 6: Final answer
    x = 302.07

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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.