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Finding the Fourth Proportional to 464.44, 693.33 and 432.04

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Solution

The fourth proportional to 464.44, 693.33 and 432.04 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.44 : 693.33 = 432.04 : x
  2. Step 2: Convert to fraction form
    464.44/693.33 = 432.04/x
  3. Step 3: Cross multiply
    464.44x = 693.33 × 432.04
  4. Step 4: Simplify right side
    464.44x = 299,546.29
  5. Step 5: Solve for x
    x = 299,546.29/464.44
  6. Step 6: Final answer
    x = 644.96

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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.