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Finding the Fourth Proportional to 295.74, 441.74 and 294.22

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Solution

The fourth proportional to 295.74, 441.74 and 294.22 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.74 : 441.74 = 294.22 : x
  2. Step 2: Convert to fraction form
    295.74/441.74 = 294.22/x
  3. Step 3: Cross multiply
    295.74x = 441.74 × 294.22
  4. Step 4: Simplify right side
    295.74x = 129,966.17
  5. Step 5: Solve for x
    x = 129,966.17/295.74
  6. Step 6: Final answer
    x = 439.46

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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.