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Finding the Fourth Proportional to 536.79, 741.47 and 443.91

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Solution

The fourth proportional to 536.79, 741.47 and 443.91 is: 613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.79 : 741.47 = 443.91 : x
  2. Step 2: Convert to fraction form
    536.79/741.47 = 443.91/x
  3. Step 3: Cross multiply
    536.79x = 741.47 × 443.91
  4. Step 4: Simplify right side
    536.79x = 329,143.73
  5. Step 5: Solve for x
    x = 329,143.73/536.79
  6. Step 6: Final answer
    x = 613.17

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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.