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Finding the Fourth Proportional to 456.10, 684.14 and 212.58

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Solution

The fourth proportional to 456.10, 684.14 and 212.58 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 684.14 = 212.58 : x
  2. Step 2: Convert to fraction form
    456.10/684.14 = 212.58/x
  3. Step 3: Cross multiply
    456.10x = 684.14 × 212.58
  4. Step 4: Simplify right side
    456.10x = 145,433.42
  5. Step 5: Solve for x
    x = 145,433.42/456.10
  6. Step 6: Final answer
    x = 318.86

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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.