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Finding the Fourth Proportional to 534.21, 736.42 and 429.26

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Solution

The fourth proportional to 534.21, 736.42 and 429.26 is: 591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 736.42 = 429.26 : x
  2. Step 2: Convert to fraction form
    534.21/736.42 = 429.26/x
  3. Step 3: Cross multiply
    534.21x = 736.42 × 429.26
  4. Step 4: Simplify right side
    534.21x = 316,115.65
  5. Step 5: Solve for x
    x = 316,115.65/534.21
  6. Step 6: Final answer
    x = 591.74

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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.