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Finding the Fourth Proportional to 735.18, 1,014.40 and 436.42

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Solution

The fourth proportional to 735.18, 1,014.40 and 436.42 is: 602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.18 : 1,014.40 = 436.42 : x
  2. Step 2: Convert to fraction form
    735.18/1,014.40 = 436.42/x
  3. Step 3: Cross multiply
    735.18x = 1,014.40 × 436.42
  4. Step 4: Simplify right side
    735.18x = 442,705.03
  5. Step 5: Solve for x
    x = 442,705.03/735.18
  6. Step 6: Final answer
    x = 602.17

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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.