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Finding the Fourth Proportional to 569.31, 786.80 and 429.38

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Solution

The fourth proportional to 569.31, 786.80 and 429.38 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 786.80 = 429.38 : x
  2. Step 2: Convert to fraction form
    569.31/786.80 = 429.38/x
  3. Step 3: Cross multiply
    569.31x = 786.80 × 429.38
  4. Step 4: Simplify right side
    569.31x = 337,839.22
  5. Step 5: Solve for x
    x = 337,839.22/569.31
  6. Step 6: Final answer
    x = 593.42

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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.