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Finding the Fourth Proportional to 464.85, 641.28 and 299.00

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Solution

The fourth proportional to 464.85, 641.28 and 299.00 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 641.28 = 299.00 : x
  2. Step 2: Convert to fraction form
    464.85/641.28 = 299.00/x
  3. Step 3: Cross multiply
    464.85x = 641.28 × 299.00
  4. Step 4: Simplify right side
    464.85x = 191,739.51
  5. Step 5: Solve for x
    x = 191,739.51/464.85
  6. Step 6: Final answer
    x = 412.48

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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.