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Finding the Fourth Proportional to 385.33, 531.87 and 341.22

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Solution

The fourth proportional to 385.33, 531.87 and 341.22 is: 470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.33 : 531.87 = 341.22 : x
  2. Step 2: Convert to fraction form
    385.33/531.87 = 341.22/x
  3. Step 3: Cross multiply
    385.33x = 531.87 × 341.22
  4. Step 4: Simplify right side
    385.33x = 181,484.94
  5. Step 5: Solve for x
    x = 181,484.94/385.33
  6. Step 6: Final answer
    x = 470.98

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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.