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Finding the Fourth Proportional to 432.19, 648.35 and 143.63

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Solution

The fourth proportional to 432.19, 648.35 and 143.63 is: 215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 648.35 = 143.63 : x
  2. Step 2: Convert to fraction form
    432.19/648.35 = 143.63/x
  3. Step 3: Cross multiply
    432.19x = 648.35 × 143.63
  4. Step 4: Simplify right side
    432.19x = 93,122.51
  5. Step 5: Solve for x
    x = 93,122.51/432.19
  6. Step 6: Final answer
    x = 215.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.