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Finding the Fourth Proportional to 412.89, 570 and 281.67

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Solution

The fourth proportional to 412.89, 570 and 281.67 is: 388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 570 = 281.67 : x
  2. Step 2: Convert to fraction form
    412.89/570 = 281.67/x
  3. Step 3: Cross multiply
    412.89x = 570 × 281.67
  4. Step 4: Simplify right side
    412.89x = 160,551.90
  5. Step 5: Solve for x
    x = 160,551.90/412.89
  6. Step 6: Final answer
    x = 388.85

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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.