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Finding the Fourth Proportional to 536.49, 740.14 and 349.83

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Solution

The fourth proportional to 536.49, 740.14 and 349.83 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.49 : 740.14 = 349.83 : x
  2. Step 2: Convert to fraction form
    536.49/740.14 = 349.83/x
  3. Step 3: Cross multiply
    536.49x = 740.14 × 349.83
  4. Step 4: Simplify right side
    536.49x = 258,922.30
  5. Step 5: Solve for x
    x = 258,922.30/536.49
  6. Step 6: Final answer
    x = 482.62

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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.