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Finding the Fourth Proportional to 352.29, 524.97 and 342.39

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Solution

The fourth proportional to 352.29, 524.97 and 342.39 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.29 : 524.97 = 342.39 : x
  2. Step 2: Convert to fraction form
    352.29/524.97 = 342.39/x
  3. Step 3: Cross multiply
    352.29x = 524.97 × 342.39
  4. Step 4: Simplify right side
    352.29x = 179,744.48
  5. Step 5: Solve for x
    x = 179,744.48/352.29
  6. Step 6: Final answer
    x = 510.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.