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Finding the Fourth Proportional to 570.34, 786.43 and 360.26

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Solution

The fourth proportional to 570.34, 786.43 and 360.26 is: 496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.34 : 786.43 = 360.26 : x
  2. Step 2: Convert to fraction form
    570.34/786.43 = 360.26/x
  3. Step 3: Cross multiply
    570.34x = 786.43 × 360.26
  4. Step 4: Simplify right side
    570.34x = 283,319.27
  5. Step 5: Solve for x
    x = 283,319.27/570.34
  6. Step 6: Final answer
    x = 496.76

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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.