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Finding the Fourth Proportional to 569.97, 786.78 and 334.13

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Solution

The fourth proportional to 569.97, 786.78 and 334.13 is: 461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.97 : 786.78 = 334.13 : x
  2. Step 2: Convert to fraction form
    569.97/786.78 = 334.13/x
  3. Step 3: Cross multiply
    569.97x = 786.78 × 334.13
  4. Step 4: Simplify right side
    569.97x = 262,882.87
  5. Step 5: Solve for x
    x = 262,882.87/569.97
  6. Step 6: Final answer
    x = 461.22

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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.