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Finding the Fourth Proportional to 975.45, 1,463.30 and 317.11

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Solution

The fourth proportional to 975.45, 1,463.30 and 317.11 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,463.30 = 317.11 : x
  2. Step 2: Convert to fraction form
    975.45/1,463.30 = 317.11/x
  3. Step 3: Cross multiply
    975.45x = 1,463.30 × 317.11
  4. Step 4: Simplify right side
    975.45x = 464,027.06
  5. Step 5: Solve for x
    x = 464,027.06/975.45
  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.