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Finding the Fourth Proportional to 297.10, 445.73 and 264.82

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Solution

The fourth proportional to 297.10, 445.73 and 264.82 is: 397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.10 : 445.73 = 264.82 : x
  2. Step 2: Convert to fraction form
    297.10/445.73 = 264.82/x
  3. Step 3: Cross multiply
    297.10x = 445.73 × 264.82
  4. Step 4: Simplify right side
    297.10x = 118,038.22
  5. Step 5: Solve for x
    x = 118,038.22/297.10
  6. Step 6: Final answer
    x = 397.30

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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.