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Finding the Fourth Proportional to 480.48, 719.34 and 274.68

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Solution

The fourth proportional to 480.48, 719.34 and 274.68 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 719.34 = 274.68 : x
  2. Step 2: Convert to fraction form
    480.48/719.34 = 274.68/x
  3. Step 3: Cross multiply
    480.48x = 719.34 × 274.68
  4. Step 4: Simplify right side
    480.48x = 197,588.31
  5. Step 5: Solve for x
    x = 197,588.31/480.48
  6. Step 6: Final answer
    x = 411.23

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Why These Related Problems?

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