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Finding the Fourth Proportional to 419.46, 628.05 and 214.12

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Solution

The fourth proportional to 419.46, 628.05 and 214.12 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.46 : 628.05 = 214.12 : x
  2. Step 2: Convert to fraction form
    419.46/628.05 = 214.12/x
  3. Step 3: Cross multiply
    419.46x = 628.05 × 214.12
  4. Step 4: Simplify right side
    419.46x = 134,478.07
  5. Step 5: Solve for x
    x = 134,478.07/419.46
  6. Step 6: Final answer
    x = 320.60

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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.