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Finding the Fourth Proportional to 803.53, 1,205.32 and 255.70

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Solution

The fourth proportional to 803.53, 1,205.32 and 255.70 is: 383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,205.32 = 255.70 : x
  2. Step 2: Convert to fraction form
    803.53/1,205.32 = 255.70/x
  3. Step 3: Cross multiply
    803.53x = 1,205.32 × 255.70
  4. Step 4: Simplify right side
    803.53x = 308,200.32
  5. Step 5: Solve for x
    x = 308,200.32/803.53
  6. Step 6: Final answer
    x = 383.56

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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.