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Finding the Fourth Proportional to 464.63, 697.02 and 221.02

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Solution

The fourth proportional to 464.63, 697.02 and 221.02 is: 331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 697.02 = 221.02 : x
  2. Step 2: Convert to fraction form
    464.63/697.02 = 221.02/x
  3. Step 3: Cross multiply
    464.63x = 697.02 × 221.02
  4. Step 4: Simplify right side
    464.63x = 154,055.36
  5. Step 5: Solve for x
    x = 154,055.36/464.63
  6. Step 6: Final answer
    x = 331.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.