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Finding the Fourth Proportional to 423.75, 584.06 and 380.19

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Solution

The fourth proportional to 423.75, 584.06 and 380.19 is: 524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.75 : 584.06 = 380.19 : x
  2. Step 2: Convert to fraction form
    423.75/584.06 = 380.19/x
  3. Step 3: Cross multiply
    423.75x = 584.06 × 380.19
  4. Step 4: Simplify right side
    423.75x = 222,051.87
  5. Step 5: Solve for x
    x = 222,051.87/423.75
  6. Step 6: Final answer
    x = 524.02

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Why These Related Problems?

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