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Finding the Fourth Proportional to 464.50, 641.45 and 299.01

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Solution

The fourth proportional to 464.50, 641.45 and 299.01 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 641.45 = 299.01 : x
  2. Step 2: Convert to fraction form
    464.50/641.45 = 299.01/x
  3. Step 3: Cross multiply
    464.50x = 641.45 × 299.01
  4. Step 4: Simplify right side
    464.50x = 191,798.67
  5. Step 5: Solve for x
    x = 191,798.67/464.50
  6. Step 6: Final answer
    x = 412.91

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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.