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Finding the Fourth Proportional to 445.68, 615.02 and 314.87

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Solution

The fourth proportional to 445.68, 615.02 and 314.87 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 615.02 = 314.87 : x
  2. Step 2: Convert to fraction form
    445.68/615.02 = 314.87/x
  3. Step 3: Cross multiply
    445.68x = 615.02 × 314.87
  4. Step 4: Simplify right side
    445.68x = 193,651.35
  5. Step 5: Solve for x
    x = 193,651.35/445.68
  6. Step 6: Final answer
    x = 434.51

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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.