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Finding the Fourth Proportional to 377.96, 520.26 and 339.08

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Solution

The fourth proportional to 377.96, 520.26 and 339.08 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 520.26 = 339.08 : x
  2. Step 2: Convert to fraction form
    377.96/520.26 = 339.08/x
  3. Step 3: Cross multiply
    377.96x = 520.26 × 339.08
  4. Step 4: Simplify right side
    377.96x = 176,409.76
  5. Step 5: Solve for x
    x = 176,409.76/377.96
  6. Step 6: Final answer
    x = 466.74

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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.