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Finding the Fourth Proportional to 428.22, 590.49 and 317.52

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Solution

The fourth proportional to 428.22, 590.49 and 317.52 is: 437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.22 : 590.49 = 317.52 : x
  2. Step 2: Convert to fraction form
    428.22/590.49 = 317.52/x
  3. Step 3: Cross multiply
    428.22x = 590.49 × 317.52
  4. Step 4: Simplify right side
    428.22x = 187,492.38
  5. Step 5: Solve for x
    x = 187,492.38/428.22
  6. Step 6: Final answer
    x = 437.84

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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.