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Finding the Fourth Proportional to 570.27, 786.34 and 360.21

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Solution

The fourth proportional to 570.27, 786.34 and 360.21 is: 496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.27 : 786.34 = 360.21 : x
  2. Step 2: Convert to fraction form
    570.27/786.34 = 360.21/x
  3. Step 3: Cross multiply
    570.27x = 786.34 × 360.21
  4. Step 4: Simplify right side
    570.27x = 283,250.93
  5. Step 5: Solve for x
    x = 283,250.93/570.27
  6. Step 6: Final answer
    x = 496.69

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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.