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Finding the Fourth Proportional to 316.69, 437.04 and 200.45

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Solution

The fourth proportional to 316.69, 437.04 and 200.45 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.69 : 437.04 = 200.45 : x
  2. Step 2: Convert to fraction form
    316.69/437.04 = 200.45/x
  3. Step 3: Cross multiply
    316.69x = 437.04 × 200.45
  4. Step 4: Simplify right side
    316.69x = 87,605.76
  5. Step 5: Solve for x
    x = 87,605.76/316.69
  6. Step 6: Final answer
    x = 276.63

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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.