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Finding the Fourth Proportional to 377.21, 520.62 and 253.08

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Solution

The fourth proportional to 377.21, 520.62 and 253.08 is: 349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.21 : 520.62 = 253.08 : x
  2. Step 2: Convert to fraction form
    377.21/520.62 = 253.08/x
  3. Step 3: Cross multiply
    377.21x = 520.62 × 253.08
  4. Step 4: Simplify right side
    377.21x = 131,758.51
  5. Step 5: Solve for x
    x = 131,758.51/377.21
  6. Step 6: Final answer
    x = 349.30

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Why These Related Problems?

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