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Finding the Fourth Proportional to 464.40, 641.00 and 287.51

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Solution

The fourth proportional to 464.40, 641.00 and 287.51 is: 396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 641.00 = 287.51 : x
  2. Step 2: Convert to fraction form
    464.40/641.00 = 287.51/x
  3. Step 3: Cross multiply
    464.40x = 641.00 × 287.51
  4. Step 4: Simplify right side
    464.40x = 184,291.42
  5. Step 5: Solve for x
    x = 184,291.42/464.40
  6. Step 6: Final answer
    x = 396.84

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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.