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Finding the Fourth Proportional to 348.29, 524.67 and 293.61

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Solution

The fourth proportional to 348.29, 524.67 and 293.61 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 524.67 = 293.61 : x
  2. Step 2: Convert to fraction form
    348.29/524.67 = 293.61/x
  3. Step 3: Cross multiply
    348.29x = 524.67 × 293.61
  4. Step 4: Simplify right side
    348.29x = 154,048.36
  5. Step 5: Solve for x
    x = 154,048.36/348.29
  6. Step 6: Final answer
    x = 442.30

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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.