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Finding the Fourth Proportional to 908.66, 1,361.64 and 360.30

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Solution

The fourth proportional to 908.66, 1,361.64 and 360.30 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.66 : 1,361.64 = 360.30 : x
  2. Step 2: Convert to fraction form
    908.66/1,361.64 = 360.30/x
  3. Step 3: Cross multiply
    908.66x = 1,361.64 × 360.30
  4. Step 4: Simplify right side
    908.66x = 490,598.89
  5. Step 5: Solve for x
    x = 490,598.89/908.66
  6. Step 6: Final answer
    x = 539.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.