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Finding the Fourth Proportional to 464.60, 641.16 and 287.64

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Solution

The fourth proportional to 464.60, 641.16 and 287.64 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 641.16 = 287.64 : x
  2. Step 2: Convert to fraction form
    464.60/641.16 = 287.64/x
  3. Step 3: Cross multiply
    464.60x = 641.16 × 287.64
  4. Step 4: Simplify right side
    464.60x = 184,423.26
  5. Step 5: Solve for x
    x = 184,423.26/464.60
  6. Step 6: Final answer
    x = 396.95

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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.