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Finding the Fourth Proportional to 295.44, 441.46 and 283.92

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Solution

The fourth proportional to 295.44, 441.46 and 283.92 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.44 : 441.46 = 283.92 : x
  2. Step 2: Convert to fraction form
    295.44/441.46 = 283.92/x
  3. Step 3: Cross multiply
    295.44x = 441.46 × 283.92
  4. Step 4: Simplify right side
    295.44x = 125,339.32
  5. Step 5: Solve for x
    x = 125,339.32/295.44
  6. Step 6: Final answer
    x = 424.25

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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.