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Finding the Fourth Proportional to 480.24, 717.54 and 334.80

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Solution

The fourth proportional to 480.24, 717.54 and 334.80 is: 500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 717.54 = 334.80 : x
  2. Step 2: Convert to fraction form
    480.24/717.54 = 334.80/x
  3. Step 3: Cross multiply
    480.24x = 717.54 × 334.80
  4. Step 4: Simplify right side
    480.24x = 240,232.39
  5. Step 5: Solve for x
    x = 240,232.39/480.24
  6. Step 6: Final answer
    x = 500.23

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Why These Related Problems?

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