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Finding the Fourth Proportional to 534.18, 736.35 and 356.82

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Solution

The fourth proportional to 534.18, 736.35 and 356.82 is: 491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.18 : 736.35 = 356.82 : x
  2. Step 2: Convert to fraction form
    534.18/736.35 = 356.82/x
  3. Step 3: Cross multiply
    534.18x = 736.35 × 356.82
  4. Step 4: Simplify right side
    534.18x = 262,744.41
  5. Step 5: Solve for x
    x = 262,744.41/534.18
  6. Step 6: Final answer
    x = 491.86

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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.