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Finding the Fourth Proportional to 431.10, 596.07 and 376.44

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Solution

The fourth proportional to 431.10, 596.07 and 376.44 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 596.07 = 376.44 : x
  2. Step 2: Convert to fraction form
    431.10/596.07 = 376.44/x
  3. Step 3: Cross multiply
    431.10x = 596.07 × 376.44
  4. Step 4: Simplify right side
    431.10x = 224,384.59
  5. Step 5: Solve for x
    x = 224,384.59/431.10
  6. Step 6: Final answer
    x = 520.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.