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Finding the Fourth Proportional to 909.65, 1,363.57 and 389.99

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Solution

The fourth proportional to 909.65, 1,363.57 and 389.99 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.65 : 1,363.57 = 389.99 : x
  2. Step 2: Convert to fraction form
    909.65/1,363.57 = 389.99/x
  3. Step 3: Cross multiply
    909.65x = 1,363.57 × 389.99
  4. Step 4: Simplify right side
    909.65x = 531,781.10
  5. Step 5: Solve for x
    x = 531,781.10/909.65
  6. Step 6: Final answer
    x = 584.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.