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Finding the Fourth Proportional to 569.93, 786.45 and 321.20

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Solution

The fourth proportional to 569.93, 786.45 and 321.20 is: 443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.93 : 786.45 = 321.20 : x
  2. Step 2: Convert to fraction form
    569.93/786.45 = 321.20/x
  3. Step 3: Cross multiply
    569.93x = 786.45 × 321.20
  4. Step 4: Simplify right side
    569.93x = 252,607.74
  5. Step 5: Solve for x
    x = 252,607.74/569.93
  6. Step 6: Final answer
    x = 443.23

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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.