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Finding the Fourth Proportional to 570.05, 786.75 and 349.07

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Solution

The fourth proportional to 570.05, 786.75 and 349.07 is: 481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 786.75 = 349.07 : x
  2. Step 2: Convert to fraction form
    570.05/786.75 = 349.07/x
  3. Step 3: Cross multiply
    570.05x = 786.75 × 349.07
  4. Step 4: Simplify right side
    570.05x = 274,629.08
  5. Step 5: Solve for x
    x = 274,629.08/570.05
  6. Step 6: Final answer
    x = 481.76

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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.