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Finding the Fourth Proportional to 295.42, 440.23 and 285.62

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Solution

The fourth proportional to 295.42, 440.23 and 285.62 is: 425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.42 : 440.23 = 285.62 : x
  2. Step 2: Convert to fraction form
    295.42/440.23 = 285.62/x
  3. Step 3: Cross multiply
    295.42x = 440.23 × 285.62
  4. Step 4: Simplify right side
    295.42x = 125,739.95
  5. Step 5: Solve for x
    x = 125,739.95/295.42
  6. Step 6: Final answer
    x = 425.63

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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.