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Finding the Fourth Proportional to 428.86, 643.10 and 154.95

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Solution

The fourth proportional to 428.86, 643.10 and 154.95 is: 232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 643.10 = 154.95 : x
  2. Step 2: Convert to fraction form
    428.86/643.10 = 154.95/x
  3. Step 3: Cross multiply
    428.86x = 643.10 × 154.95
  4. Step 4: Simplify right side
    428.86x = 99,647.98
  5. Step 5: Solve for x
    x = 99,647.98/428.86
  6. Step 6: Final answer
    x = 232.36

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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.