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Finding the Fourth Proportional to 316.68, 437.09 and 283.87

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Solution

The fourth proportional to 316.68, 437.09 and 283.87 is: 391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 437.09 = 283.87 : x
  2. Step 2: Convert to fraction form
    316.68/437.09 = 283.87/x
  3. Step 3: Cross multiply
    316.68x = 437.09 × 283.87
  4. Step 4: Simplify right side
    316.68x = 124,076.74
  5. Step 5: Solve for x
    x = 124,076.74/316.68
  6. Step 6: Final answer
    x = 391.80

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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.