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Finding the Fourth Proportional to 417.54, 626.46 and 212.16

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Solution

The fourth proportional to 417.54, 626.46 and 212.16 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 626.46 = 212.16 : x
  2. Step 2: Convert to fraction form
    417.54/626.46 = 212.16/x
  3. Step 3: Cross multiply
    417.54x = 626.46 × 212.16
  4. Step 4: Simplify right side
    417.54x = 132,909.75
  5. Step 5: Solve for x
    x = 132,909.75/417.54
  6. Step 6: Final answer
    x = 318.32

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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.