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Finding the Fourth Proportional to 445.68, 615.13 and 313.52

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Solution

The fourth proportional to 445.68, 615.13 and 313.52 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 615.13 = 313.52 : x
  2. Step 2: Convert to fraction form
    445.68/615.13 = 313.52/x
  3. Step 3: Cross multiply
    445.68x = 615.13 × 313.52
  4. Step 4: Simplify right side
    445.68x = 192,851.70
  5. Step 5: Solve for x
    x = 192,851.70/445.68
  6. Step 6: Final answer
    x = 432.71

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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.