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Finding the Fourth Proportional to 674.26, 930.81 and 412.36

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Solution

The fourth proportional to 674.26, 930.81 and 412.36 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.26 : 930.81 = 412.36 : x
  2. Step 2: Convert to fraction form
    674.26/930.81 = 412.36/x
  3. Step 3: Cross multiply
    674.26x = 930.81 × 412.36
  4. Step 4: Simplify right side
    674.26x = 383,828.81
  5. Step 5: Solve for x
    x = 383,828.81/674.26
  6. Step 6: Final answer
    x = 569.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.