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Finding the Fourth Proportional to 660.58, 911.28 and 411.50

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Solution

The fourth proportional to 660.58, 911.28 and 411.50 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.58 : 911.28 = 411.50 : x
  2. Step 2: Convert to fraction form
    660.58/911.28 = 411.50/x
  3. Step 3: Cross multiply
    660.58x = 911.28 × 411.50
  4. Step 4: Simplify right side
    660.58x = 374,991.72
  5. Step 5: Solve for x
    x = 374,991.72/660.58
  6. Step 6: Final answer
    x = 567.67

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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.