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Finding the Fourth Proportional to 344.48, 515.58 and 253.14

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Solution

The fourth proportional to 344.48, 515.58 and 253.14 is: 378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.48 : 515.58 = 253.14 : x
  2. Step 2: Convert to fraction form
    344.48/515.58 = 253.14/x
  3. Step 3: Cross multiply
    344.48x = 515.58 × 253.14
  4. Step 4: Simplify right side
    344.48x = 130,513.92
  5. Step 5: Solve for x
    x = 130,513.92/344.48
  6. Step 6: Final answer
    x = 378.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.