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Finding the Fourth Proportional to 382.09, 575.98 and 357

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Solution

The fourth proportional to 382.09, 575.98 and 357 is: 538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 575.98 = 357 : x
  2. Step 2: Convert to fraction form
    382.09/575.98 = 357/x
  3. Step 3: Cross multiply
    382.09x = 575.98 × 357
  4. Step 4: Simplify right side
    382.09x = 205,624.86
  5. Step 5: Solve for x
    x = 205,624.86/382.09
  6. Step 6: Final answer
    x = 538.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.