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Finding the Fourth Proportional to 428.13, 590.26 and 317.41

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Solution

The fourth proportional to 428.13, 590.26 and 317.41 is: 437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 590.26 = 317.41 : x
  2. Step 2: Convert to fraction form
    428.13/590.26 = 317.41/x
  3. Step 3: Cross multiply
    428.13x = 590.26 × 317.41
  4. Step 4: Simplify right side
    428.13x = 187,354.43
  5. Step 5: Solve for x
    x = 187,354.43/428.13
  6. Step 6: Final answer
    x = 437.61

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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.