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Finding the Fourth Proportional to 909.41, 1,364.20 and 324.27

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Solution

The fourth proportional to 909.41, 1,364.20 and 324.27 is: 486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.41 : 1,364.20 = 324.27 : x
  2. Step 2: Convert to fraction form
    909.41/1,364.20 = 324.27/x
  3. Step 3: Cross multiply
    909.41x = 1,364.20 × 324.27
  4. Step 4: Simplify right side
    909.41x = 442,368.32
  5. Step 5: Solve for x
    x = 442,368.32/909.41
  6. Step 6: Final answer
    x = 486.44

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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.