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Finding the Fourth Proportional to 423.05, 581.72 and 378.51

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Solution

The fourth proportional to 423.05, 581.72 and 378.51 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.05 : 581.72 = 378.51 : x
  2. Step 2: Convert to fraction form
    423.05/581.72 = 378.51/x
  3. Step 3: Cross multiply
    423.05x = 581.72 × 378.51
  4. Step 4: Simplify right side
    423.05x = 220,186.81
  5. Step 5: Solve for x
    x = 220,186.81/423.05
  6. Step 6: Final answer
    x = 520.48

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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.