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Finding the Fourth Proportional to 735.09, 1,014.32 and 420.30

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Solution

The fourth proportional to 735.09, 1,014.32 and 420.30 is: 579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.09 : 1,014.32 = 420.30 : x
  2. Step 2: Convert to fraction form
    735.09/1,014.32 = 420.30/x
  3. Step 3: Cross multiply
    735.09x = 1,014.32 × 420.30
  4. Step 4: Simplify right side
    735.09x = 426,318.70
  5. Step 5: Solve for x
    x = 426,318.70/735.09
  6. Step 6: Final answer
    x = 579.95

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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.