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Finding the Fourth Proportional to 845.42, 1,268.22 and 290.22

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Solution

The fourth proportional to 845.42, 1,268.22 and 290.22 is: 435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.42 : 1,268.22 = 290.22 : x
  2. Step 2: Convert to fraction form
    845.42/1,268.22 = 290.22/x
  3. Step 3: Cross multiply
    845.42x = 1,268.22 × 290.22
  4. Step 4: Simplify right side
    845.42x = 368,062.81
  5. Step 5: Solve for x
    x = 368,062.81/845.42
  6. Step 6: Final answer
    x = 435.36

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1.5x scale

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.