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Finding the Fourth Proportional to 432.16, 648.12 and 376.84

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Solution

The fourth proportional to 432.16, 648.12 and 376.84 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 648.12 = 376.84 : x
  2. Step 2: Convert to fraction form
    432.16/648.12 = 376.84/x
  3. Step 3: Cross multiply
    432.16x = 648.12 × 376.84
  4. Step 4: Simplify right side
    432.16x = 244,237.54
  5. Step 5: Solve for x
    x = 244,237.54/432.16
  6. Step 6: Final answer
    x = 565.16

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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.