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Finding the Fourth Proportional to 730.50, 1,008.11 and 420

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Solution

The fourth proportional to 730.50, 1,008.11 and 420 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,008.11 = 420 : x
  2. Step 2: Convert to fraction form
    730.50/1,008.11 = 420/x
  3. Step 3: Cross multiply
    730.50x = 1,008.11 × 420
  4. Step 4: Simplify right side
    730.50x = 423,404.10
  5. Step 5: Solve for x
    x = 423,404.10/730.50
  6. Step 6: Final answer
    x = 579.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.