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Finding the Fourth Proportional to 295.75, 442.63 and 289.05

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Solution

The fourth proportional to 295.75, 442.63 and 289.05 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.75 : 442.63 = 289.05 : x
  2. Step 2: Convert to fraction form
    295.75/442.63 = 289.05/x
  3. Step 3: Cross multiply
    295.75x = 442.63 × 289.05
  4. Step 4: Simplify right side
    295.75x = 127,942.20
  5. Step 5: Solve for x
    x = 127,942.20/295.75
  6. Step 6: Final answer
    x = 432.60

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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.