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Finding the Fourth Proportional to 480.50, 663.14 and 314.81

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Solution

The fourth proportional to 480.50, 663.14 and 314.81 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.50 : 663.14 = 314.81 : x
  2. Step 2: Convert to fraction form
    480.50/663.14 = 314.81/x
  3. Step 3: Cross multiply
    480.50x = 663.14 × 314.81
  4. Step 4: Simplify right side
    480.50x = 208,759.39
  5. Step 5: Solve for x
    x = 208,759.39/480.50
  6. Step 6: Final answer
    x = 434.46

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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.