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Finding the Fourth Proportional to 464.80, 697.28 and 221.76

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Solution

The fourth proportional to 464.80, 697.28 and 221.76 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.80 : 697.28 = 221.76 : x
  2. Step 2: Convert to fraction form
    464.80/697.28 = 221.76/x
  3. Step 3: Cross multiply
    464.80x = 697.28 × 221.76
  4. Step 4: Simplify right side
    464.80x = 154,628.81
  5. Step 5: Solve for x
    x = 154,628.81/464.80
  6. Step 6: Final answer
    x = 332.68

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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.