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Finding the Fourth Proportional to 295.97, 444.30 and 294.65

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Solution

The fourth proportional to 295.97, 444.30 and 294.65 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 444.30 = 294.65 : x
  2. Step 2: Convert to fraction form
    295.97/444.30 = 294.65/x
  3. Step 3: Cross multiply
    295.97x = 444.30 × 294.65
  4. Step 4: Simplify right side
    295.97x = 130,913.00
  5. Step 5: Solve for x
    x = 130,913.00/295.97
  6. Step 6: Final answer
    x = 442.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.