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Finding the Fourth Proportional to 451.41, 677.61 and 289.23

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Solution

The fourth proportional to 451.41, 677.61 and 289.23 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 677.61 = 289.23 : x
  2. Step 2: Convert to fraction form
    451.41/677.61 = 289.23/x
  3. Step 3: Cross multiply
    451.41x = 677.61 × 289.23
  4. Step 4: Simplify right side
    451.41x = 195,985.14
  5. Step 5: Solve for x
    x = 195,985.14/451.41
  6. Step 6: Final answer
    x = 434.16

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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.