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Finding the Fourth Proportional to 451.58, 677.14 and 297.59

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Solution

The fourth proportional to 451.58, 677.14 and 297.59 is: 446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.58 : 677.14 = 297.59 : x
  2. Step 2: Convert to fraction form
    451.58/677.14 = 297.59/x
  3. Step 3: Cross multiply
    451.58x = 677.14 × 297.59
  4. Step 4: Simplify right side
    451.58x = 201,511.04
  5. Step 5: Solve for x
    x = 201,511.04/451.58
  6. Step 6: Final answer
    x = 446.23

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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.