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Finding the Fourth Proportional to 909.41, 1,363.86 and 389.23

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Solution

The fourth proportional to 909.41, 1,363.86 and 389.23 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.41 : 1,363.86 = 389.23 : x
  2. Step 2: Convert to fraction form
    909.41/1,363.86 = 389.23/x
  3. Step 3: Cross multiply
    909.41x = 1,363.86 × 389.23
  4. Step 4: Simplify right side
    909.41x = 530,851.82
  5. Step 5: Solve for x
    x = 530,851.82/909.41
  6. Step 6: Final answer
    x = 583.74

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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.