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Finding the Fourth Proportional to 534.14, 736.84 and 434.67

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Solution

The fourth proportional to 534.14, 736.84 and 434.67 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 736.84 = 434.67 : x
  2. Step 2: Convert to fraction form
    534.14/736.84 = 434.67/x
  3. Step 3: Cross multiply
    534.14x = 736.84 × 434.67
  4. Step 4: Simplify right side
    534.14x = 320,276.39
  5. Step 5: Solve for x
    x = 320,276.39/534.14
  6. Step 6: Final answer
    x = 599.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.