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Finding the Fourth Proportional to 352.68, 485.64 and 308.76

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Solution

The fourth proportional to 352.68, 485.64 and 308.76 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.68 : 485.64 = 308.76 : x
  2. Step 2: Convert to fraction form
    352.68/485.64 = 308.76/x
  3. Step 3: Cross multiply
    352.68x = 485.64 × 308.76
  4. Step 4: Simplify right side
    352.68x = 149,946.21
  5. Step 5: Solve for x
    x = 149,946.21/352.68
  6. Step 6: Final answer
    x = 425.16

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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.