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Finding the Fourth Proportional to 382.34, 526.83 and 294.86

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Solution

The fourth proportional to 382.34, 526.83 and 294.86 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.34 : 526.83 = 294.86 : x
  2. Step 2: Convert to fraction form
    382.34/526.83 = 294.86/x
  3. Step 3: Cross multiply
    382.34x = 526.83 × 294.86
  4. Step 4: Simplify right side
    382.34x = 155,341.09
  5. Step 5: Solve for x
    x = 155,341.09/382.34
  6. Step 6: Final answer
    x = 406.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.