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Finding the Fourth Proportional to 295.29, 441.57 and 259.08

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Solution

The fourth proportional to 295.29, 441.57 and 259.08 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.29 : 441.57 = 259.08 : x
  2. Step 2: Convert to fraction form
    295.29/441.57 = 259.08/x
  3. Step 3: Cross multiply
    295.29x = 441.57 × 259.08
  4. Step 4: Simplify right side
    295.29x = 114,401.96
  5. Step 5: Solve for x
    x = 114,401.96/295.29
  6. Step 6: Final answer
    x = 387.42

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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.