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Finding the Fourth Proportional to 803.25, 1,205.42 and 290.25

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Solution

The fourth proportional to 803.25, 1,205.42 and 290.25 is: 435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,205.42 = 290.25 : x
  2. Step 2: Convert to fraction form
    803.25/1,205.42 = 290.25/x
  3. Step 3: Cross multiply
    803.25x = 1,205.42 × 290.25
  4. Step 4: Simplify right side
    803.25x = 349,871.70
  5. Step 5: Solve for x
    x = 349,871.70/803.25
  6. Step 6: Final answer
    x = 435.57

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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.