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Finding the Fourth Proportional to 316.09, 474.14 and 283.69

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Solution

The fourth proportional to 316.09, 474.14 and 283.69 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 474.14 = 283.69 : x
  2. Step 2: Convert to fraction form
    316.09/474.14 = 283.69/x
  3. Step 3: Cross multiply
    316.09x = 474.14 × 283.69
  4. Step 4: Simplify right side
    316.09x = 134,508.78
  5. Step 5: Solve for x
    x = 134,508.78/316.09
  6. Step 6: Final answer
    x = 425.54

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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.