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Finding the Fourth Proportional to 660.97, 912.32 and 381.23

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Solution

The fourth proportional to 660.97, 912.32 and 381.23 is: 526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.97 : 912.32 = 381.23 : x
  2. Step 2: Convert to fraction form
    660.97/912.32 = 381.23/x
  3. Step 3: Cross multiply
    660.97x = 912.32 × 381.23
  4. Step 4: Simplify right side
    660.97x = 347,803.75
  5. Step 5: Solve for x
    x = 347,803.75/660.97
  6. Step 6: Final answer
    x = 526.20

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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.