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Finding the Fourth Proportional to 295.11, 441.72 and 283.77

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Solution

The fourth proportional to 295.11, 441.72 and 283.77 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.11 : 441.72 = 283.77 : x
  2. Step 2: Convert to fraction form
    295.11/441.72 = 283.77/x
  3. Step 3: Cross multiply
    295.11x = 441.72 × 283.77
  4. Step 4: Simplify right side
    295.11x = 125,346.88
  5. Step 5: Solve for x
    x = 125,346.88/295.11
  6. Step 6: Final answer
    x = 424.75

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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.