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Finding the Fourth Proportional to 730.25, 1,095.24 and 382.49

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Solution

The fourth proportional to 730.25, 1,095.24 and 382.49 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.25 : 1,095.24 = 382.49 : x
  2. Step 2: Convert to fraction form
    730.25/1,095.24 = 382.49/x
  3. Step 3: Cross multiply
    730.25x = 1,095.24 × 382.49
  4. Step 4: Simplify right side
    730.25x = 418,916.26
  5. Step 5: Solve for x
    x = 418,916.26/730.25
  6. Step 6: Final answer
    x = 573.66

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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.