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Finding the Fourth Proportional to 569.83, 786.56 and 354.41

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Solution

The fourth proportional to 569.83, 786.56 and 354.41 is: 489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.83 : 786.56 = 354.41 : x
  2. Step 2: Convert to fraction form
    569.83/786.56 = 354.41/x
  3. Step 3: Cross multiply
    569.83x = 786.56 × 354.41
  4. Step 4: Simplify right side
    569.83x = 278,766.70
  5. Step 5: Solve for x
    x = 278,766.70/569.83
  6. Step 6: Final answer
    x = 489.21

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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.