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Finding the Fourth Proportional to 730.56, 1,008.24 and 420

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Solution

The fourth proportional to 730.56, 1,008.24 and 420 is: 579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,008.24 = 420 : x
  2. Step 2: Convert to fraction form
    730.56/1,008.24 = 420/x
  3. Step 3: Cross multiply
    730.56x = 1,008.24 × 420
  4. Step 4: Simplify right side
    730.56x = 423,460.80
  5. Step 5: Solve for x
    x = 423,460.80/730.56
  6. Step 6: Final answer
    x = 579.64

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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.