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Finding the Fourth Proportional to 803.59, 1,205.48 and 309.88

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Solution

The fourth proportional to 803.59, 1,205.48 and 309.88 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.59 : 1,205.48 = 309.88 : x
  2. Step 2: Convert to fraction form
    803.59/1,205.48 = 309.88/x
  3. Step 3: Cross multiply
    803.59x = 1,205.48 × 309.88
  4. Step 4: Simplify right side
    803.59x = 373,556.42
  5. Step 5: Solve for x
    x = 373,556.42/803.59
  6. Step 6: Final answer
    x = 464.86

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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.