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Finding the Fourth Proportional to 464.68, 641.06 and 287.51

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Solution

The fourth proportional to 464.68, 641.06 and 287.51 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 641.06 = 287.51 : x
  2. Step 2: Convert to fraction form
    464.68/641.06 = 287.51/x
  3. Step 3: Cross multiply
    464.68x = 641.06 × 287.51
  4. Step 4: Simplify right side
    464.68x = 184,311.16
  5. Step 5: Solve for x
    x = 184,311.16/464.68
  6. Step 6: Final answer
    x = 396.65

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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.