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Finding the Fourth Proportional to 471.93, 651.65 and 306.43

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Solution

The fourth proportional to 471.93, 651.65 and 306.43 is: 423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.93 : 651.65 = 306.43 : x
  2. Step 2: Convert to fraction form
    471.93/651.65 = 306.43/x
  3. Step 3: Cross multiply
    471.93x = 651.65 × 306.43
  4. Step 4: Simplify right side
    471.93x = 199,683.67
  5. Step 5: Solve for x
    x = 199,683.67/471.93
  6. Step 6: Final answer
    x = 423.12

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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.