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Finding the Fourth Proportional to 453.36, 678.42 and 314.57

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Solution

The fourth proportional to 453.36, 678.42 and 314.57 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.36 : 678.42 = 314.57 : x
  2. Step 2: Convert to fraction form
    453.36/678.42 = 314.57/x
  3. Step 3: Cross multiply
    453.36x = 678.42 × 314.57
  4. Step 4: Simplify right side
    453.36x = 213,407.19
  5. Step 5: Solve for x
    x = 213,407.19/453.36
  6. Step 6: Final answer
    x = 470.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.