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Finding the Fourth Proportional to 480.99, 663.51 and 294.57

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Solution

The fourth proportional to 480.99, 663.51 and 294.57 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.99 : 663.51 = 294.57 : x
  2. Step 2: Convert to fraction form
    480.99/663.51 = 294.57/x
  3. Step 3: Cross multiply
    480.99x = 663.51 × 294.57
  4. Step 4: Simplify right side
    480.99x = 195,450.14
  5. Step 5: Solve for x
    x = 195,450.14/480.99
  6. Step 6: Final answer
    x = 406.35

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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.