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Finding the Fourth Proportional to 536.41, 740.36 and 349.57

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Solution

The fourth proportional to 536.41, 740.36 and 349.57 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 740.36 = 349.57 : x
  2. Step 2: Convert to fraction form
    536.41/740.36 = 349.57/x
  3. Step 3: Cross multiply
    536.41x = 740.36 × 349.57
  4. Step 4: Simplify right side
    536.41x = 258,803.94
  5. Step 5: Solve for x
    x = 258,803.94/536.41
  6. Step 6: Final answer
    x = 482.48

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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.