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Finding the Fourth Proportional to 357.13, 536.14 and 308.68

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Solution

The fourth proportional to 357.13, 536.14 and 308.68 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.13 : 536.14 = 308.68 : x
  2. Step 2: Convert to fraction form
    357.13/536.14 = 308.68/x
  3. Step 3: Cross multiply
    357.13x = 536.14 × 308.68
  4. Step 4: Simplify right side
    357.13x = 165,496.26
  5. Step 5: Solve for x
    x = 165,496.26/357.13
  6. Step 6: Final answer
    x = 463.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.