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Finding the Fourth Proportional to 803.88, 1,205.16 and 317.22

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Solution

The fourth proportional to 803.88, 1,205.16 and 317.22 is: 475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,205.16 = 317.22 : x
  2. Step 2: Convert to fraction form
    803.88/1,205.16 = 317.22/x
  3. Step 3: Cross multiply
    803.88x = 1,205.16 × 317.22
  4. Step 4: Simplify right side
    803.88x = 382,300.86
  5. Step 5: Solve for x
    x = 382,300.86/803.88
  6. Step 6: Final answer
    x = 475.57

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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.