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Finding the Fourth Proportional to 570.73, 786.82 and 360.80

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Solution

The fourth proportional to 570.73, 786.82 and 360.80 is: 497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.73 : 786.82 = 360.80 : x
  2. Step 2: Convert to fraction form
    570.73/786.82 = 360.80/x
  3. Step 3: Cross multiply
    570.73x = 786.82 × 360.80
  4. Step 4: Simplify right side
    570.73x = 283,885.57
  5. Step 5: Solve for x
    x = 283,885.57/570.73
  6. Step 6: Final answer
    x = 497.41

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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.