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Finding the Fourth Proportional to 416.72, 622.18 and 376.40

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Solution

The fourth proportional to 416.72, 622.18 and 376.40 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 622.18 = 376.40 : x
  2. Step 2: Convert to fraction form
    416.72/622.18 = 376.40/x
  3. Step 3: Cross multiply
    416.72x = 622.18 × 376.40
  4. Step 4: Simplify right side
    416.72x = 234,188.55
  5. Step 5: Solve for x
    x = 234,188.55/416.72
  6. Step 6: Final answer
    x = 561.98

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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.