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Finding the Fourth Proportional to 422.63, 582.75 and 356.15

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Solution

The fourth proportional to 422.63, 582.75 and 356.15 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 582.75 = 356.15 : x
  2. Step 2: Convert to fraction form
    422.63/582.75 = 356.15/x
  3. Step 3: Cross multiply
    422.63x = 582.75 × 356.15
  4. Step 4: Simplify right side
    422.63x = 207,543.50
  5. Step 5: Solve for x
    x = 207,543.50/422.63
  6. Step 6: Final answer
    x = 491.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.