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Finding the Fourth Proportional to 534.48, 735.27 and 436.02

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Solution

The fourth proportional to 534.48, 735.27 and 436.02 is: 599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 735.27 = 436.02 : x
  2. Step 2: Convert to fraction form
    534.48/735.27 = 436.02/x
  3. Step 3: Cross multiply
    534.48x = 735.27 × 436.02
  4. Step 4: Simplify right side
    534.48x = 320,592.43
  5. Step 5: Solve for x
    x = 320,592.43/534.48
  6. Step 6: Final answer
    x = 599.82

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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.