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Finding the Fourth Proportional to 534.98, 735.96 and 436.52

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Solution

The fourth proportional to 534.98, 735.96 and 436.52 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.98 : 735.96 = 436.52 : x
  2. Step 2: Convert to fraction form
    534.98/735.96 = 436.52/x
  3. Step 3: Cross multiply
    534.98x = 735.96 × 436.52
  4. Step 4: Simplify right side
    534.98x = 321,261.26
  5. Step 5: Solve for x
    x = 321,261.26/534.98
  6. Step 6: Final answer
    x = 600.51

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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.