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Finding the Fourth Proportional to 730.81, 1,008.60 and 420.31

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Solution

The fourth proportional to 730.81, 1,008.60 and 420.31 is: 580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,008.60 = 420.31 : x
  2. Step 2: Convert to fraction form
    730.81/1,008.60 = 420.31/x
  3. Step 3: Cross multiply
    730.81x = 1,008.60 × 420.31
  4. Step 4: Simplify right side
    730.81x = 423,924.67
  5. Step 5: Solve for x
    x = 423,924.67/730.81
  6. Step 6: Final answer
    x = 580.08

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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.