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Finding the Fourth Proportional to 406.94, 607.41 and 376.83

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Solution

The fourth proportional to 406.94, 607.41 and 376.83 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 607.41 = 376.83 : x
  2. Step 2: Convert to fraction form
    406.94/607.41 = 376.83/x
  3. Step 3: Cross multiply
    406.94x = 607.41 × 376.83
  4. Step 4: Simplify right side
    406.94x = 228,890.31
  5. Step 5: Solve for x
    x = 228,890.31/406.94
  6. Step 6: Final answer
    x = 562.47

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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.