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Finding the Fourth Proportional to 975.57, 1,462.98 and 317.22

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Solution

The fourth proportional to 975.57, 1,462.98 and 317.22 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.57 : 1,462.98 = 317.22 : x
  2. Step 2: Convert to fraction form
    975.57/1,462.98 = 317.22/x
  3. Step 3: Cross multiply
    975.57x = 1,462.98 × 317.22
  4. Step 4: Simplify right side
    975.57x = 464,086.52
  5. Step 5: Solve for x
    x = 464,086.52/975.57
  6. Step 6: Final answer
    x = 475.71

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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.