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Finding the Fourth Proportional to 803.68, 1,205.41 and 317.08

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Solution

The fourth proportional to 803.68, 1,205.41 and 317.08 is: 475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.68 : 1,205.41 = 317.08 : x
  2. Step 2: Convert to fraction form
    803.68/1,205.41 = 317.08/x
  3. Step 3: Cross multiply
    803.68x = 1,205.41 × 317.08
  4. Step 4: Simplify right side
    803.68x = 382,211.40
  5. Step 5: Solve for x
    x = 382,211.40/803.68
  6. Step 6: Final answer
    x = 475.58

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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.