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Finding the Fourth Proportional to 382.18, 525.81 and 294.70

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Solution

The fourth proportional to 382.18, 525.81 and 294.70 is: 405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 525.81 = 294.70 : x
  2. Step 2: Convert to fraction form
    382.18/525.81 = 294.70/x
  3. Step 3: Cross multiply
    382.18x = 525.81 × 294.70
  4. Step 4: Simplify right side
    382.18x = 154,956.21
  5. Step 5: Solve for x
    x = 154,956.21/382.18
  6. Step 6: Final answer
    x = 405.45

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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.