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Finding the Fourth Proportional to 423.50, 633.35 and 286.34

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Solution

The fourth proportional to 423.50, 633.35 and 286.34 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 633.35 = 286.34 : x
  2. Step 2: Convert to fraction form
    423.50/633.35 = 286.34/x
  3. Step 3: Cross multiply
    423.50x = 633.35 × 286.34
  4. Step 4: Simplify right side
    423.50x = 181,350.99
  5. Step 5: Solve for x
    x = 181,350.99/423.50
  6. Step 6: Final answer
    x = 428.22

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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.