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Finding the Fourth Proportional to 619.86, 928.71 and 389.28

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Solution

The fourth proportional to 619.86, 928.71 and 389.28 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.86 : 928.71 = 389.28 : x
  2. Step 2: Convert to fraction form
    619.86/928.71 = 389.28/x
  3. Step 3: Cross multiply
    619.86x = 928.71 × 389.28
  4. Step 4: Simplify right side
    619.86x = 361,528.23
  5. Step 5: Solve for x
    x = 361,528.23/619.86
  6. Step 6: Final answer
    x = 583.24

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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.