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Finding the Fourth Proportional to 297.45, 446.07 and 175.77

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Solution

The fourth proportional to 297.45, 446.07 and 175.77 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 446.07 = 175.77 : x
  2. Step 2: Convert to fraction form
    297.45/446.07 = 175.77/x
  3. Step 3: Cross multiply
    297.45x = 446.07 × 175.77
  4. Step 4: Simplify right side
    297.45x = 78,405.72
  5. Step 5: Solve for x
    x = 78,405.72/297.45
  6. Step 6: Final answer
    x = 263.59

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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.