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Finding the Fourth Proportional to 423.15, 584.05 and 275.53

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Solution

The fourth proportional to 423.15, 584.05 and 275.53 is: 380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.15 : 584.05 = 275.53 : x
  2. Step 2: Convert to fraction form
    423.15/584.05 = 275.53/x
  3. Step 3: Cross multiply
    423.15x = 584.05 × 275.53
  4. Step 4: Simplify right side
    423.15x = 160,921.92
  5. Step 5: Solve for x
    x = 160,921.92/423.15
  6. Step 6: Final answer
    x = 380.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.