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Finding the Fourth Proportional to 464.10, 639.82 and 324.02

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Solution

The fourth proportional to 464.10, 639.82 and 324.02 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 639.82 = 324.02 : x
  2. Step 2: Convert to fraction form
    464.10/639.82 = 324.02/x
  3. Step 3: Cross multiply
    464.10x = 639.82 × 324.02
  4. Step 4: Simplify right side
    464.10x = 207,314.48
  5. Step 5: Solve for x
    x = 207,314.48/464.10
  6. Step 6: Final answer
    x = 446.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.