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Finding the Fourth Proportional to 416.61, 623.77 and 378.17

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Solution

The fourth proportional to 416.61, 623.77 and 378.17 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 623.77 = 378.17 : x
  2. Step 2: Convert to fraction form
    416.61/623.77 = 378.17/x
  3. Step 3: Cross multiply
    416.61x = 623.77 × 378.17
  4. Step 4: Simplify right side
    416.61x = 235,889.38
  5. Step 5: Solve for x
    x = 235,889.38/416.61
  6. Step 6: Final answer
    x = 566.21

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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.