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Finding the Fourth Proportional to 294.84, 443.97 and 259.20

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Solution

The fourth proportional to 294.84, 443.97 and 259.20 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 443.97 = 259.20 : x
  2. Step 2: Convert to fraction form
    294.84/443.97 = 259.20/x
  3. Step 3: Cross multiply
    294.84x = 443.97 × 259.20
  4. Step 4: Simplify right side
    294.84x = 115,077.02
  5. Step 5: Solve for x
    x = 115,077.02/294.84
  6. Step 6: Final answer
    x = 390.30

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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.