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Finding the Fourth Proportional to 464.57, 641.01 and 298.72

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Solution

The fourth proportional to 464.57, 641.01 and 298.72 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 641.01 = 298.72 : x
  2. Step 2: Convert to fraction form
    464.57/641.01 = 298.72/x
  3. Step 3: Cross multiply
    464.57x = 641.01 × 298.72
  4. Step 4: Simplify right side
    464.57x = 191,484.43
  5. Step 5: Solve for x
    x = 191,484.43/464.57
  6. Step 6: Final answer
    x = 412.18

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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.