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Finding the Fourth Proportional to 295.04, 441.96 and 260.89

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Solution

The fourth proportional to 295.04, 441.96 and 260.89 is: 390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 441.96 = 260.89 : x
  2. Step 2: Convert to fraction form
    295.04/441.96 = 260.89/x
  3. Step 3: Cross multiply
    295.04x = 441.96 × 260.89
  4. Step 4: Simplify right side
    295.04x = 115,300.86
  5. Step 5: Solve for x
    x = 115,300.86/295.04
  6. Step 6: Final answer
    x = 390.79

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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.