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Finding the Fourth Proportional to 730.96, 1,008.74 and 416.20

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Solution

The fourth proportional to 730.96, 1,008.74 and 416.20 is: 574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,008.74 = 416.20 : x
  2. Step 2: Convert to fraction form
    730.96/1,008.74 = 416.20/x
  3. Step 3: Cross multiply
    730.96x = 1,008.74 × 416.20
  4. Step 4: Simplify right side
    730.96x = 419,837.59
  5. Step 5: Solve for x
    x = 419,837.59/730.96
  6. Step 6: Final answer
    x = 574.36

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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.