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Finding the Fourth Proportional to 382.68, 527.62 and 312.48

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Solution

The fourth proportional to 382.68, 527.62 and 312.48 is: 430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 527.62 = 312.48 : x
  2. Step 2: Convert to fraction form
    382.68/527.62 = 312.48/x
  3. Step 3: Cross multiply
    382.68x = 527.62 × 312.48
  4. Step 4: Simplify right side
    382.68x = 164,870.70
  5. Step 5: Solve for x
    x = 164,870.70/382.68
  6. Step 6: Final answer
    x = 430.83

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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.