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Finding the Fourth Proportional to 295.65, 441.37 and 263.25

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Solution

The fourth proportional to 295.65, 441.37 and 263.25 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.65 : 441.37 = 263.25 : x
  2. Step 2: Convert to fraction form
    295.65/441.37 = 263.25/x
  3. Step 3: Cross multiply
    295.65x = 441.37 × 263.25
  4. Step 4: Simplify right side
    295.65x = 116,190.65
  5. Step 5: Solve for x
    x = 116,190.65/295.65
  6. Step 6: Final answer
    x = 393.00

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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.