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Finding the Fourth Proportional to 480.68, 663.29 and 294.22

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Solution

The fourth proportional to 480.68, 663.29 and 294.22 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.68 : 663.29 = 294.22 : x
  2. Step 2: Convert to fraction form
    480.68/663.29 = 294.22/x
  3. Step 3: Cross multiply
    480.68x = 663.29 × 294.22
  4. Step 4: Simplify right side
    480.68x = 195,153.65
  5. Step 5: Solve for x
    x = 195,153.65/480.68
  6. Step 6: Final answer
    x = 406.00

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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.