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Finding the Fourth Proportional to 480.57, 720.42 and 407.91

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Solution

The fourth proportional to 480.57, 720.42 and 407.91 is: 611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.57 : 720.42 = 407.91 : x
  2. Step 2: Convert to fraction form
    480.57/720.42 = 407.91/x
  3. Step 3: Cross multiply
    480.57x = 720.42 × 407.91
  4. Step 4: Simplify right side
    480.57x = 293,866.52
  5. Step 5: Solve for x
    x = 293,866.52/480.57
  6. Step 6: Final answer
    x = 611.50

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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.