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Finding the Fourth Proportional to 536.70, 740.28 and 350.13

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Solution

The fourth proportional to 536.70, 740.28 and 350.13 is: 482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 740.28 = 350.13 : x
  2. Step 2: Convert to fraction form
    536.70/740.28 = 350.13/x
  3. Step 3: Cross multiply
    536.70x = 740.28 × 350.13
  4. Step 4: Simplify right side
    536.70x = 259,194.24
  5. Step 5: Solve for x
    x = 259,194.24/536.70
  6. Step 6: Final answer
    x = 482.94

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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.