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Finding the Fourth Proportional to 456.16, 683.84 and 212.35

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Solution

The fourth proportional to 456.16, 683.84 and 212.35 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 683.84 = 212.35 : x
  2. Step 2: Convert to fraction form
    456.16/683.84 = 212.35/x
  3. Step 3: Cross multiply
    456.16x = 683.84 × 212.35
  4. Step 4: Simplify right side
    456.16x = 145,214.87
  5. Step 5: Solve for x
    x = 145,214.87/456.16
  6. Step 6: Final answer
    x = 318.34

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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.