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Finding the Fourth Proportional to 456.22, 684.54 and 311.64

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Solution

The fourth proportional to 456.22, 684.54 and 311.64 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 684.54 = 311.64 : x
  2. Step 2: Convert to fraction form
    456.22/684.54 = 311.64/x
  3. Step 3: Cross multiply
    456.22x = 684.54 × 311.64
  4. Step 4: Simplify right side
    456.22x = 213,330.05
  5. Step 5: Solve for x
    x = 213,330.05/456.22
  6. Step 6: Final answer
    x = 467.60

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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.