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Finding the Fourth Proportional to 451.04, 675.96 and 314.14

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Solution

The fourth proportional to 451.04, 675.96 and 314.14 is: 470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.04 : 675.96 = 314.14 : x
  2. Step 2: Convert to fraction form
    451.04/675.96 = 314.14/x
  3. Step 3: Cross multiply
    451.04x = 675.96 × 314.14
  4. Step 4: Simplify right side
    451.04x = 212,346.07
  5. Step 5: Solve for x
    x = 212,346.07/451.04
  6. Step 6: Final answer
    x = 470.79

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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.