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Finding the Fourth Proportional to 428.68, 590.42 and 370.44

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Solution

The fourth proportional to 428.68, 590.42 and 370.44 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.68 : 590.42 = 370.44 : x
  2. Step 2: Convert to fraction form
    428.68/590.42 = 370.44/x
  3. Step 3: Cross multiply
    428.68x = 590.42 × 370.44
  4. Step 4: Simplify right side
    428.68x = 218,715.18
  5. Step 5: Solve for x
    x = 218,715.18/428.68
  6. Step 6: Final answer
    x = 510.21

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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.