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Finding the Fourth Proportional to 389.09, 580.60 and 354.59

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Solution

The fourth proportional to 389.09, 580.60 and 354.59 is: 529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.09 : 580.60 = 354.59 : x
  2. Step 2: Convert to fraction form
    389.09/580.60 = 354.59/x
  3. Step 3: Cross multiply
    389.09x = 580.60 × 354.59
  4. Step 4: Simplify right side
    389.09x = 205,874.95
  5. Step 5: Solve for x
    x = 205,874.95/389.09
  6. Step 6: Final answer
    x = 529.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.