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Finding the Fourth Proportional to 803.42, 1,205.14 and 255.60

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Solution

The fourth proportional to 803.42, 1,205.14 and 255.60 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.42 : 1,205.14 = 255.60 : x
  2. Step 2: Convert to fraction form
    803.42/1,205.14 = 255.60/x
  3. Step 3: Cross multiply
    803.42x = 1,205.14 × 255.60
  4. Step 4: Simplify right side
    803.42x = 308,033.78
  5. Step 5: Solve for x
    x = 308,033.78/803.42
  6. Step 6: Final answer
    x = 383.40

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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.