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Finding the Fourth Proportional to 387.63, 534.30 and 308.82

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Solution

The fourth proportional to 387.63, 534.30 and 308.82 is: 425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.63 : 534.30 = 308.82 : x
  2. Step 2: Convert to fraction form
    387.63/534.30 = 308.82/x
  3. Step 3: Cross multiply
    387.63x = 534.30 × 308.82
  4. Step 4: Simplify right side
    387.63x = 165,002.53
  5. Step 5: Solve for x
    x = 165,002.53/387.63
  6. Step 6: Final answer
    x = 425.67

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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.