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Finding the Fourth Proportional to 572.92, 790.64 and 324.25

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Solution

The fourth proportional to 572.92, 790.64 and 324.25 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.92 : 790.64 = 324.25 : x
  2. Step 2: Convert to fraction form
    572.92/790.64 = 324.25/x
  3. Step 3: Cross multiply
    572.92x = 790.64 × 324.25
  4. Step 4: Simplify right side
    572.92x = 256,361.07
  5. Step 5: Solve for x
    x = 256,361.07/572.92
  6. Step 6: Final answer
    x = 447.47

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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.