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Finding the Fourth Proportional to 420.94, 627.40 and 411.22

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Solution

The fourth proportional to 420.94, 627.40 and 411.22 is: 612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 627.40 = 411.22 : x
  2. Step 2: Convert to fraction form
    420.94/627.40 = 411.22/x
  3. Step 3: Cross multiply
    420.94x = 627.40 × 411.22
  4. Step 4: Simplify right side
    420.94x = 257,999.43
  5. Step 5: Solve for x
    x = 257,999.43/420.94
  6. Step 6: Final answer
    x = 612.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.