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Finding the Fourth Proportional to 433.01, 648.78 and 286.67

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Solution

The fourth proportional to 433.01, 648.78 and 286.67 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 648.78 = 286.67 : x
  2. Step 2: Convert to fraction form
    433.01/648.78 = 286.67/x
  3. Step 3: Cross multiply
    433.01x = 648.78 × 286.67
  4. Step 4: Simplify right side
    433.01x = 185,985.76
  5. Step 5: Solve for x
    x = 185,985.76/433.01
  6. Step 6: Final answer
    x = 429.52

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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.