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Finding the Fourth Proportional to 464.63, 641.06 and 299.07

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Solution

The fourth proportional to 464.63, 641.06 and 299.07 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 641.06 = 299.07 : x
  2. Step 2: Convert to fraction form
    464.63/641.06 = 299.07/x
  3. Step 3: Cross multiply
    464.63x = 641.06 × 299.07
  4. Step 4: Simplify right side
    464.63x = 191,721.81
  5. Step 5: Solve for x
    x = 191,721.81/464.63
  6. Step 6: Final answer
    x = 412.63

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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.