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Finding the Fourth Proportional to 456.90, 685.59 and 274.65

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Solution

The fourth proportional to 456.90, 685.59 and 274.65 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 685.59 = 274.65 : x
  2. Step 2: Convert to fraction form
    456.90/685.59 = 274.65/x
  3. Step 3: Cross multiply
    456.90x = 685.59 × 274.65
  4. Step 4: Simplify right side
    456.90x = 188,297.29
  5. Step 5: Solve for x
    x = 188,297.29/456.90
  6. Step 6: Final answer
    x = 412.12

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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.