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Finding the Fourth Proportional to 480.14, 663.08 and 314.29

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Solution

The fourth proportional to 480.14, 663.08 and 314.29 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.14 : 663.08 = 314.29 : x
  2. Step 2: Convert to fraction form
    480.14/663.08 = 314.29/x
  3. Step 3: Cross multiply
    480.14x = 663.08 × 314.29
  4. Step 4: Simplify right side
    480.14x = 208,399.41
  5. Step 5: Solve for x
    x = 208,399.41/480.14
  6. Step 6: Final answer
    x = 434.04

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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.