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Finding the Fourth Proportional to 322.20, 482.70 and 287.58

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Solution

The fourth proportional to 322.20, 482.70 and 287.58 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 482.70 = 287.58 : x
  2. Step 2: Convert to fraction form
    322.20/482.70 = 287.58/x
  3. Step 3: Cross multiply
    322.20x = 482.70 × 287.58
  4. Step 4: Simplify right side
    322.20x = 138,814.87
  5. Step 5: Solve for x
    x = 138,814.87/322.20
  6. Step 6: Final answer
    x = 430.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.