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Finding the Fourth Proportional to 480.55, 663.21 and 294.16

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Solution

The fourth proportional to 480.55, 663.21 and 294.16 is: 405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.55 : 663.21 = 294.16 : x
  2. Step 2: Convert to fraction form
    480.55/663.21 = 294.16/x
  3. Step 3: Cross multiply
    480.55x = 663.21 × 294.16
  4. Step 4: Simplify right side
    480.55x = 195,090.78
  5. Step 5: Solve for x
    x = 195,090.78/480.55
  6. Step 6: Final answer
    x = 405.98

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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.