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Finding the Fourth Proportional to 570.68, 786.39 and 412.81

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Solution

The fourth proportional to 570.68, 786.39 and 412.81 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.68 : 786.39 = 412.81 : x
  2. Step 2: Convert to fraction form
    570.68/786.39 = 412.81/x
  3. Step 3: Cross multiply
    570.68x = 786.39 × 412.81
  4. Step 4: Simplify right side
    570.68x = 324,625.72
  5. Step 5: Solve for x
    x = 324,625.72/570.68
  6. Step 6: Final answer
    x = 568.84

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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.