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Finding the Fourth Proportional to 730.23, 1,007.74 and 415.49

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Solution

The fourth proportional to 730.23, 1,007.74 and 415.49 is: 573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,007.74 = 415.49 : x
  2. Step 2: Convert to fraction form
    730.23/1,007.74 = 415.49/x
  3. Step 3: Cross multiply
    730.23x = 1,007.74 × 415.49
  4. Step 4: Simplify right side
    730.23x = 418,705.89
  5. Step 5: Solve for x
    x = 418,705.89/730.23
  6. Step 6: Final answer
    x = 573.39

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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.