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Finding the Fourth Proportional to 432.02, 648.30 and 416.90

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Solution

The fourth proportional to 432.02, 648.30 and 416.90 is: 625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.02 : 648.30 = 416.90 : x
  2. Step 2: Convert to fraction form
    432.02/648.30 = 416.90/x
  3. Step 3: Cross multiply
    432.02x = 648.30 × 416.90
  4. Step 4: Simplify right side
    432.02x = 270,276.27
  5. Step 5: Solve for x
    x = 270,276.27/432.02
  6. Step 6: Final answer
    x = 625.61

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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.