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Finding the Fourth Proportional to 909.50, 1,364.19 and 293.04

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Solution

The fourth proportional to 909.50, 1,364.19 and 293.04 is: 439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,364.19 = 293.04 : x
  2. Step 2: Convert to fraction form
    909.50/1,364.19 = 293.04/x
  3. Step 3: Cross multiply
    909.50x = 1,364.19 × 293.04
  4. Step 4: Simplify right side
    909.50x = 399,762.24
  5. Step 5: Solve for x
    x = 399,762.24/909.50
  6. Step 6: Final answer
    x = 439.54

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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.