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Finding the Fourth Proportional to 416.18, 573.70 and 342.36

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Solution

The fourth proportional to 416.18, 573.70 and 342.36 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.18 : 573.70 = 342.36 : x
  2. Step 2: Convert to fraction form
    416.18/573.70 = 342.36/x
  3. Step 3: Cross multiply
    416.18x = 573.70 × 342.36
  4. Step 4: Simplify right side
    416.18x = 196,411.93
  5. Step 5: Solve for x
    x = 196,411.93/416.18
  6. Step 6: Final answer
    x = 471.94

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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.