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Finding the Fourth Proportional to 570.35, 786.82 and 412.73

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Solution

The fourth proportional to 570.35, 786.82 and 412.73 is: 569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.35 : 786.82 = 412.73 : x
  2. Step 2: Convert to fraction form
    570.35/786.82 = 412.73/x
  3. Step 3: Cross multiply
    570.35x = 786.82 × 412.73
  4. Step 4: Simplify right side
    570.35x = 324,744.22
  5. Step 5: Solve for x
    x = 324,744.22/570.35
  6. Step 6: Final answer
    x = 569.38

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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.