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Finding the Fourth Proportional to 569.80, 786.36 and 348.69

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Solution

The fourth proportional to 569.80, 786.36 and 348.69 is: 481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 786.36 = 348.69 : x
  2. Step 2: Convert to fraction form
    569.80/786.36 = 348.69/x
  3. Step 3: Cross multiply
    569.80x = 786.36 × 348.69
  4. Step 4: Simplify right side
    569.80x = 274,192.59
  5. Step 5: Solve for x
    x = 274,192.59/569.80
  6. Step 6: Final answer
    x = 481.21

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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.