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Finding the Fourth Proportional to 660.44, 912.11 and 412.35

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Solution

The fourth proportional to 660.44, 912.11 and 412.35 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.44 : 912.11 = 412.35 : x
  2. Step 2: Convert to fraction form
    660.44/912.11 = 412.35/x
  3. Step 3: Cross multiply
    660.44x = 912.11 × 412.35
  4. Step 4: Simplify right side
    660.44x = 376,106.50
  5. Step 5: Solve for x
    x = 376,106.50/660.44
  6. Step 6: Final answer
    x = 569.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.