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Finding the Fourth Proportional to 452.64, 678.96 and 221.76

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Solution

The fourth proportional to 452.64, 678.96 and 221.76 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 678.96 = 221.76 : x
  2. Step 2: Convert to fraction form
    452.64/678.96 = 221.76/x
  3. Step 3: Cross multiply
    452.64x = 678.96 × 221.76
  4. Step 4: Simplify right side
    452.64x = 150,566.17
  5. Step 5: Solve for x
    x = 150,566.17/452.64
  6. Step 6: Final answer
    x = 332.64

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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.