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Finding the Fourth Proportional to 730.48, 1,095.09 and 365.44

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Solution

The fourth proportional to 730.48, 1,095.09 and 365.44 is: 547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.48 : 1,095.09 = 365.44 : x
  2. Step 2: Convert to fraction form
    730.48/1,095.09 = 365.44/x
  3. Step 3: Cross multiply
    730.48x = 1,095.09 × 365.44
  4. Step 4: Simplify right side
    730.48x = 400,189.69
  5. Step 5: Solve for x
    x = 400,189.69/730.48
  6. Step 6: Final answer
    x = 547.84

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.