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Finding the Fourth Proportional to 295.68, 445.44 and 282.24

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Solution

The fourth proportional to 295.68, 445.44 and 282.24 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 445.44 = 282.24 : x
  2. Step 2: Convert to fraction form
    295.68/445.44 = 282.24/x
  3. Step 3: Cross multiply
    295.68x = 445.44 × 282.24
  4. Step 4: Simplify right side
    295.68x = 125,720.99
  5. Step 5: Solve for x
    x = 125,720.99/295.68
  6. Step 6: Final answer
    x = 425.19

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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.