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Finding the Fourth Proportional to 295.12, 444.40 and 257.05

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Solution

The fourth proportional to 295.12, 444.40 and 257.05 is: 387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 444.40 = 257.05 : x
  2. Step 2: Convert to fraction form
    295.12/444.40 = 257.05/x
  3. Step 3: Cross multiply
    295.12x = 444.40 × 257.05
  4. Step 4: Simplify right side
    295.12x = 114,234.77
  5. Step 5: Solve for x
    x = 114,234.77/295.12
  6. Step 6: Final answer
    x = 387.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.