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Finding the Fourth Proportional to 480.24, 662.28 and 414.72

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Solution

The fourth proportional to 480.24, 662.28 and 414.72 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 662.28 = 414.72 : x
  2. Step 2: Convert to fraction form
    480.24/662.28 = 414.72/x
  3. Step 3: Cross multiply
    480.24x = 662.28 × 414.72
  4. Step 4: Simplify right side
    480.24x = 274,660.76
  5. Step 5: Solve for x
    x = 274,660.76/480.24
  6. Step 6: Final answer
    x = 571.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.