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Finding the Fourth Proportional to 295.18, 440.46 and 264.43

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Solution

The fourth proportional to 295.18, 440.46 and 264.43 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 440.46 = 264.43 : x
  2. Step 2: Convert to fraction form
    295.18/440.46 = 264.43/x
  3. Step 3: Cross multiply
    295.18x = 440.46 × 264.43
  4. Step 4: Simplify right side
    295.18x = 116,471.39
  5. Step 5: Solve for x
    x = 116,471.39/295.18
  6. Step 6: Final answer
    x = 394.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.