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Finding the Fourth Proportional to 428.81, 643.77 and 314.60

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Solution

The fourth proportional to 428.81, 643.77 and 314.60 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.81 : 643.77 = 314.60 : x
  2. Step 2: Convert to fraction form
    428.81/643.77 = 314.60/x
  3. Step 3: Cross multiply
    428.81x = 643.77 × 314.60
  4. Step 4: Simplify right side
    428.81x = 202,530.04
  5. Step 5: Solve for x
    x = 202,530.04/428.81
  6. Step 6: Final answer
    x = 472.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.