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Finding the Fourth Proportional to 735.38, 1,014.66 and 420.62

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Solution

The fourth proportional to 735.38, 1,014.66 and 420.62 is: 580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,014.66 = 420.62 : x
  2. Step 2: Convert to fraction form
    735.38/1,014.66 = 420.62/x
  3. Step 3: Cross multiply
    735.38x = 1,014.66 × 420.62
  4. Step 4: Simplify right side
    735.38x = 426,786.29
  5. Step 5: Solve for x
    x = 426,786.29/735.38
  6. Step 6: Final answer
    x = 580.36

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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.