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Finding the Fourth Proportional to 480.40, 719.76 and 264.16

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Solution

The fourth proportional to 480.40, 719.76 and 264.16 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.40 : 719.76 = 264.16 : x
  2. Step 2: Convert to fraction form
    480.40/719.76 = 264.16/x
  3. Step 3: Cross multiply
    480.40x = 719.76 × 264.16
  4. Step 4: Simplify right side
    480.40x = 190,131.80
  5. Step 5: Solve for x
    x = 190,131.80/480.40
  6. Step 6: Final answer
    x = 395.78

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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.