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Finding the Fourth Proportional to 293.85, 403.35 and 264.69

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Solution

The fourth proportional to 293.85, 403.35 and 264.69 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.85 : 403.35 = 264.69 : x
  2. Step 2: Convert to fraction form
    293.85/403.35 = 264.69/x
  3. Step 3: Cross multiply
    293.85x = 403.35 × 264.69
  4. Step 4: Simplify right side
    293.85x = 106,762.71
  5. Step 5: Solve for x
    x = 106,762.71/293.85
  6. Step 6: Final answer
    x = 363.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.