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Finding the Fourth Proportional to 452.41, 678.16 and 419.27

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Solution

The fourth proportional to 452.41, 678.16 and 419.27 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.41 : 678.16 = 419.27 : x
  2. Step 2: Convert to fraction form
    452.41/678.16 = 419.27/x
  3. Step 3: Cross multiply
    452.41x = 678.16 × 419.27
  4. Step 4: Simplify right side
    452.41x = 284,332.14
  5. Step 5: Solve for x
    x = 284,332.14/452.41
  6. Step 6: Final answer
    x = 628.48

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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.