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Finding the Fourth Proportional to 660.42, 912.06 and 494.37

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Solution

The fourth proportional to 660.42, 912.06 and 494.37 is: 682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 912.06 = 494.37 : x
  2. Step 2: Convert to fraction form
    660.42/912.06 = 494.37/x
  3. Step 3: Cross multiply
    660.42x = 912.06 × 494.37
  4. Step 4: Simplify right side
    660.42x = 450,895.10
  5. Step 5: Solve for x
    x = 450,895.10/660.42
  6. Step 6: Final answer
    x = 682.74

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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.