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Finding the Fourth Proportional to 534.10, 736.34 and 415.92

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Solution

The fourth proportional to 534.10, 736.34 and 415.92 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.10 : 736.34 = 415.92 : x
  2. Step 2: Convert to fraction form
    534.10/736.34 = 415.92/x
  3. Step 3: Cross multiply
    534.10x = 736.34 × 415.92
  4. Step 4: Simplify right side
    534.10x = 306,258.53
  5. Step 5: Solve for x
    x = 306,258.53/534.10
  6. Step 6: Final answer
    x = 573.41

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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.