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Finding the Fourth Proportional to 735.28, 1,014.52 and 420.48

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Solution

The fourth proportional to 735.28, 1,014.52 and 420.48 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,014.52 = 420.48 : x
  2. Step 2: Convert to fraction form
    735.28/1,014.52 = 420.48/x
  3. Step 3: Cross multiply
    735.28x = 1,014.52 × 420.48
  4. Step 4: Simplify right side
    735.28x = 426,585.37
  5. Step 5: Solve for x
    x = 426,585.37/735.28
  6. Step 6: Final answer
    x = 580.17

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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.