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Finding the Fourth Proportional to 424.10, 584.82 and 340.96

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Solution

The fourth proportional to 424.10, 584.82 and 340.96 is: 470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 584.82 = 340.96 : x
  2. Step 2: Convert to fraction form
    424.10/584.82 = 340.96/x
  3. Step 3: Cross multiply
    424.10x = 584.82 × 340.96
  4. Step 4: Simplify right side
    424.10x = 199,400.23
  5. Step 5: Solve for x
    x = 199,400.23/424.10
  6. Step 6: Final answer
    x = 470.17

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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.