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Finding the Fourth Proportional to 471.65, 650.76 and 314.10

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Solution

The fourth proportional to 471.65, 650.76 and 314.10 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.65 : 650.76 = 314.10 : x
  2. Step 2: Convert to fraction form
    471.65/650.76 = 314.10/x
  3. Step 3: Cross multiply
    471.65x = 650.76 × 314.10
  4. Step 4: Simplify right side
    471.65x = 204,403.72
  5. Step 5: Solve for x
    x = 204,403.72/471.65
  6. Step 6: Final answer
    x = 433.38

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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.