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Finding the Fourth Proportional to 377.58, 520.92 and 253.26

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Solution

The fourth proportional to 377.58, 520.92 and 253.26 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 520.92 = 253.26 : x
  2. Step 2: Convert to fraction form
    377.58/520.92 = 253.26/x
  3. Step 3: Cross multiply
    377.58x = 520.92 × 253.26
  4. Step 4: Simplify right side
    377.58x = 131,928.20
  5. Step 5: Solve for x
    x = 131,928.20/377.58
  6. Step 6: Final answer
    x = 349.40

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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.