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Finding the Fourth Proportional to 369.88, 509.32 and 361.80

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Solution

The fourth proportional to 369.88, 509.32 and 361.80 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 509.32 = 361.80 : x
  2. Step 2: Convert to fraction form
    369.88/509.32 = 361.80/x
  3. Step 3: Cross multiply
    369.88x = 509.32 × 361.80
  4. Step 4: Simplify right side
    369.88x = 184,271.98
  5. Step 5: Solve for x
    x = 184,271.98/369.88
  6. Step 6: Final answer
    x = 498.19

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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.