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Finding the Fourth Proportional to 570.29, 854.86 and 262.37

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Solution

The fourth proportional to 570.29, 854.86 and 262.37 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.29 : 854.86 = 262.37 : x
  2. Step 2: Convert to fraction form
    570.29/854.86 = 262.37/x
  3. Step 3: Cross multiply
    570.29x = 854.86 × 262.37
  4. Step 4: Simplify right side
    570.29x = 224,287.24
  5. Step 5: Solve for x
    x = 224,287.24/570.29
  6. Step 6: Final answer
    x = 393.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.