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Finding the Fourth Proportional to 569.71, 786.17 and 321.02

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Solution

The fourth proportional to 569.71, 786.17 and 321.02 is: 442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.71 : 786.17 = 321.02 : x
  2. Step 2: Convert to fraction form
    569.71/786.17 = 321.02/x
  3. Step 3: Cross multiply
    569.71x = 786.17 × 321.02
  4. Step 4: Simplify right side
    569.71x = 252,376.72
  5. Step 5: Solve for x
    x = 252,376.72/569.71
  6. Step 6: Final answer
    x = 442.99

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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.