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Finding the Fourth Proportional to 428.86, 642.86 and 266.45

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Solution

The fourth proportional to 428.86, 642.86 and 266.45 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 642.86 = 266.45 : x
  2. Step 2: Convert to fraction form
    428.86/642.86 = 266.45/x
  3. Step 3: Cross multiply
    428.86x = 642.86 × 266.45
  4. Step 4: Simplify right side
    428.86x = 171,288.71
  5. Step 5: Solve for x
    x = 171,288.71/428.86
  6. Step 6: Final answer
    x = 399.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.