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Finding the Fourth Proportional to 382.29, 527.48 and 270.59

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Solution

The fourth proportional to 382.29, 527.48 and 270.59 is: 373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 527.48 = 270.59 : x
  2. Step 2: Convert to fraction form
    382.29/527.48 = 270.59/x
  3. Step 3: Cross multiply
    382.29x = 527.48 × 270.59
  4. Step 4: Simplify right side
    382.29x = 142,730.81
  5. Step 5: Solve for x
    x = 142,730.81/382.29
  6. Step 6: Final answer
    x = 373.36

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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.