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Finding the Fourth Proportional to 382.14, 526.95 and 327.06

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Solution

The fourth proportional to 382.14, 526.95 and 327.06 is: 451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 526.95 = 327.06 : x
  2. Step 2: Convert to fraction form
    382.14/526.95 = 327.06/x
  3. Step 3: Cross multiply
    382.14x = 526.95 × 327.06
  4. Step 4: Simplify right side
    382.14x = 172,341.63
  5. Step 5: Solve for x
    x = 172,341.63/382.14
  6. Step 6: Final answer
    x = 451.00

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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.