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Finding the Fourth Proportional to 464.67, 641.50 and 287.66

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Solution

The fourth proportional to 464.67, 641.50 and 287.66 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 641.50 = 287.66 : x
  2. Step 2: Convert to fraction form
    464.67/641.50 = 287.66/x
  3. Step 3: Cross multiply
    464.67x = 641.50 × 287.66
  4. Step 4: Simplify right side
    464.67x = 184,534.77
  5. Step 5: Solve for x
    x = 184,534.77/464.67
  6. Step 6: Final answer
    x = 397.13

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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.