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Finding the Fourth Proportional to 570.82, 855.95 and 397.57

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Solution

The fourth proportional to 570.82, 855.95 and 397.57 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 855.95 = 397.57 : x
  2. Step 2: Convert to fraction form
    570.82/855.95 = 397.57/x
  3. Step 3: Cross multiply
    570.82x = 855.95 × 397.57
  4. Step 4: Simplify right side
    570.82x = 340,300.04
  5. Step 5: Solve for x
    x = 340,300.04/570.82
  6. Step 6: Final answer
    x = 596.16

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