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Finding the Fourth Proportional to 570.25, 786.93 and 321.60

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Solution

The fourth proportional to 570.25, 786.93 and 321.60 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 786.93 = 321.60 : x
  2. Step 2: Convert to fraction form
    570.25/786.93 = 321.60/x
  3. Step 3: Cross multiply
    570.25x = 786.93 × 321.60
  4. Step 4: Simplify right side
    570.25x = 253,076.69
  5. Step 5: Solve for x
    x = 253,076.69/570.25
  6. Step 6: Final answer
    x = 443.80

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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.