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Finding the Fourth Proportional to 685.58, 945.56 and 449.26

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Solution

The fourth proportional to 685.58, 945.56 and 449.26 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.58 : 945.56 = 449.26 : x
  2. Step 2: Convert to fraction form
    685.58/945.56 = 449.26/x
  3. Step 3: Cross multiply
    685.58x = 945.56 × 449.26
  4. Step 4: Simplify right side
    685.58x = 424,801.04
  5. Step 5: Solve for x
    x = 424,801.04/685.58
  6. Step 6: Final answer
    x = 619.63

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Half scale
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Double scale
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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.