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Finding the Fourth Proportional to 570.96, 857.39 and 463.77

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Solution

The fourth proportional to 570.96, 857.39 and 463.77 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 857.39 = 463.77 : x
  2. Step 2: Convert to fraction form
    570.96/857.39 = 463.77/x
  3. Step 3: Cross multiply
    570.96x = 857.39 × 463.77
  4. Step 4: Simplify right side
    570.96x = 397,629.44
  5. Step 5: Solve for x
    x = 397,629.44/570.96
  6. Step 6: Final answer
    x = 696.42

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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.