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Finding the Fourth Proportional to 456.45, 684.66 and 212.64

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Solution

The fourth proportional to 456.45, 684.66 and 212.64 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 684.66 = 212.64 : x
  2. Step 2: Convert to fraction form
    456.45/684.66 = 212.64/x
  3. Step 3: Cross multiply
    456.45x = 684.66 × 212.64
  4. Step 4: Simplify right side
    456.45x = 145,586.10
  5. Step 5: Solve for x
    x = 145,586.10/456.45
  6. Step 6: Final answer
    x = 318.95

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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.