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Finding the Fourth Proportional to 534.50, 736.94 and 446.11

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Solution

The fourth proportional to 534.50, 736.94 and 446.11 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 736.94 = 446.11 : x
  2. Step 2: Convert to fraction form
    534.50/736.94 = 446.11/x
  3. Step 3: Cross multiply
    534.50x = 736.94 × 446.11
  4. Step 4: Simplify right side
    534.50x = 328,752.62
  5. Step 5: Solve for x
    x = 328,752.62/534.50
  6. Step 6: Final answer
    x = 615.07

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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.