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Finding the Fourth Proportional to 655.94, 905.04 and 490.22

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Solution

The fourth proportional to 655.94, 905.04 and 490.22 is: 676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.94 : 905.04 = 490.22 : x
  2. Step 2: Convert to fraction form
    655.94/905.04 = 490.22/x
  3. Step 3: Cross multiply
    655.94x = 905.04 × 490.22
  4. Step 4: Simplify right side
    655.94x = 443,668.71
  5. Step 5: Solve for x
    x = 443,668.71/655.94
  6. Step 6: Final answer
    x = 676.39

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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.