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Finding the Fourth Proportional to 660.95, 912.09 and 381.16

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Solution

The fourth proportional to 660.95, 912.09 and 381.16 is: 525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.95 : 912.09 = 381.16 : x
  2. Step 2: Convert to fraction form
    660.95/912.09 = 381.16/x
  3. Step 3: Cross multiply
    660.95x = 912.09 × 381.16
  4. Step 4: Simplify right side
    660.95x = 347,652.22
  5. Step 5: Solve for x
    x = 347,652.22/660.95
  6. Step 6: Final answer
    x = 525.99

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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.