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Finding the Fourth Proportional to 295.95, 444.89 and 294.51

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Solution

The fourth proportional to 295.95, 444.89 and 294.51 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 444.89 = 294.51 : x
  2. Step 2: Convert to fraction form
    295.95/444.89 = 294.51/x
  3. Step 3: Cross multiply
    295.95x = 444.89 × 294.51
  4. Step 4: Simplify right side
    295.95x = 131,023.08
  5. Step 5: Solve for x
    x = 131,023.08/295.95
  6. Step 6: Final answer
    x = 442.72

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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.