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Finding the Fourth Proportional to 483.23, 665.78 and 317.15

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Solution

The fourth proportional to 483.23, 665.78 and 317.15 is: 436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.23 : 665.78 = 317.15 : x
  2. Step 2: Convert to fraction form
    483.23/665.78 = 317.15/x
  3. Step 3: Cross multiply
    483.23x = 665.78 × 317.15
  4. Step 4: Simplify right side
    483.23x = 211,154.75
  5. Step 5: Solve for x
    x = 211,154.75/483.23
  6. Step 6: Final answer
    x = 436.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.