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Finding the Fourth Proportional to 859.57, 1,288.58 and 397.12

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Solution

The fourth proportional to 859.57, 1,288.58 and 397.12 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.57 : 1,288.58 = 397.12 : x
  2. Step 2: Convert to fraction form
    859.57/1,288.58 = 397.12/x
  3. Step 3: Cross multiply
    859.57x = 1,288.58 × 397.12
  4. Step 4: Simplify right side
    859.57x = 511,720.89
  5. Step 5: Solve for x
    x = 511,720.89/859.57
  6. Step 6: Final answer
    x = 595.32

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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.