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Finding the Fourth Proportional to 377.50, 522.04 and 360.32

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Solution

The fourth proportional to 377.50, 522.04 and 360.32 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.50 : 522.04 = 360.32 : x
  2. Step 2: Convert to fraction form
    377.50/522.04 = 360.32/x
  3. Step 3: Cross multiply
    377.50x = 522.04 × 360.32
  4. Step 4: Simplify right side
    377.50x = 188,101.45
  5. Step 5: Solve for x
    x = 188,101.45/377.50
  6. Step 6: Final answer
    x = 498.28

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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.