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Finding the Fourth Proportional to 451.29, 677.16 and 245.86

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Solution

The fourth proportional to 451.29, 677.16 and 245.86 is: 368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.29 : 677.16 = 245.86 : x
  2. Step 2: Convert to fraction form
    451.29/677.16 = 245.86/x
  3. Step 3: Cross multiply
    451.29x = 677.16 × 245.86
  4. Step 4: Simplify right side
    451.29x = 166,483.94
  5. Step 5: Solve for x
    x = 166,483.94/451.29
  6. Step 6: Final answer
    x = 368.90

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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.