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Finding the Fourth Proportional to 569.84, 786.40 and 321.24

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Solution

The fourth proportional to 569.84, 786.40 and 321.24 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 786.40 = 321.24 : x
  2. Step 2: Convert to fraction form
    569.84/786.40 = 321.24/x
  3. Step 3: Cross multiply
    569.84x = 786.40 × 321.24
  4. Step 4: Simplify right side
    569.84x = 252,623.14
  5. Step 5: Solve for x
    x = 252,623.14/569.84
  6. Step 6: Final answer
    x = 443.32

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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.