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Finding the Fourth Proportional to 908.64, 1,361.79 and 446.58

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Solution

The fourth proportional to 908.64, 1,361.79 and 446.58 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,361.79 = 446.58 : x
  2. Step 2: Convert to fraction form
    908.64/1,361.79 = 446.58/x
  3. Step 3: Cross multiply
    908.64x = 1,361.79 × 446.58
  4. Step 4: Simplify right side
    908.64x = 608,148.18
  5. Step 5: Solve for x
    x = 608,148.18/908.64
  6. Step 6: Final answer
    x = 669.29

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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.