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Finding the Fourth Proportional to 432.60, 644.31 and 430.51

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Solution

The fourth proportional to 432.60, 644.31 and 430.51 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 644.31 = 430.51 : x
  2. Step 2: Convert to fraction form
    432.60/644.31 = 430.51/x
  3. Step 3: Cross multiply
    432.60x = 644.31 × 430.51
  4. Step 4: Simplify right side
    432.60x = 277,380.29
  5. Step 5: Solve for x
    x = 277,380.29/432.60
  6. Step 6: Final answer
    x = 641.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.