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Finding the Fourth Proportional to 569.94, 786.51 and 321.32

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Solution

The fourth proportional to 569.94, 786.51 and 321.32 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 786.51 = 321.32 : x
  2. Step 2: Convert to fraction form
    569.94/786.51 = 321.32/x
  3. Step 3: Cross multiply
    569.94x = 786.51 × 321.32
  4. Step 4: Simplify right side
    569.94x = 252,717.46
  5. Step 5: Solve for x
    x = 252,717.46/569.94
  6. Step 6: Final answer
    x = 443.41

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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.