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Finding the Fourth Proportional to 608.46, 910.64 and 376.55

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Solution

The fourth proportional to 608.46, 910.64 and 376.55 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 910.64 = 376.55 : x
  2. Step 2: Convert to fraction form
    608.46/910.64 = 376.55/x
  3. Step 3: Cross multiply
    608.46x = 910.64 × 376.55
  4. Step 4: Simplify right side
    608.46x = 342,901.30
  5. Step 5: Solve for x
    x = 342,901.30/608.46
  6. Step 6: Final answer
    x = 563.55

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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.