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Finding the Fourth Proportional to 387.40, 581 and 140.58

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Solution

The fourth proportional to 387.40, 581 and 140.58 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 581 = 140.58 : x
  2. Step 2: Convert to fraction form
    387.40/581 = 140.58/x
  3. Step 3: Cross multiply
    387.40x = 581 × 140.58
  4. Step 4: Simplify right side
    387.40x = 81,676.98
  5. Step 5: Solve for x
    x = 81,676.98/387.40
  6. Step 6: Final answer
    x = 210.83

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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.