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Finding the Fourth Proportional to 909.04, 1,363.53 and 292.80

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Solution

The fourth proportional to 909.04, 1,363.53 and 292.80 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.04 : 1,363.53 = 292.80 : x
  2. Step 2: Convert to fraction form
    909.04/1,363.53 = 292.80/x
  3. Step 3: Cross multiply
    909.04x = 1,363.53 × 292.80
  4. Step 4: Simplify right side
    909.04x = 399,241.58
  5. Step 5: Solve for x
    x = 399,241.58/909.04
  6. Step 6: Final answer
    x = 439.19

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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.