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Finding the Fourth Proportional to 428.69, 590.23 and 378.15

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Solution

The fourth proportional to 428.69, 590.23 and 378.15 is: 520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 590.23 = 378.15 : x
  2. Step 2: Convert to fraction form
    428.69/590.23 = 378.15/x
  3. Step 3: Cross multiply
    428.69x = 590.23 × 378.15
  4. Step 4: Simplify right side
    428.69x = 223,199.54
  5. Step 5: Solve for x
    x = 223,199.54/428.69
  6. Step 6: Final answer
    x = 520.66

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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.