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Finding the Fourth Proportional to 377.87, 522.45 and 345.06

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Solution

The fourth proportional to 377.87, 522.45 and 345.06 is: 477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.87 : 522.45 = 345.06 : x
  2. Step 2: Convert to fraction form
    377.87/522.45 = 345.06/x
  3. Step 3: Cross multiply
    377.87x = 522.45 × 345.06
  4. Step 4: Simplify right side
    377.87x = 180,276.60
  5. Step 5: Solve for x
    x = 180,276.60/377.87
  6. Step 6: Final answer
    x = 477.09

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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.