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Finding the Fourth Proportional to 431.70, 646.02 and 285.36

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Solution

The fourth proportional to 431.70, 646.02 and 285.36 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.70 : 646.02 = 285.36 : x
  2. Step 2: Convert to fraction form
    431.70/646.02 = 285.36/x
  3. Step 3: Cross multiply
    431.70x = 646.02 × 285.36
  4. Step 4: Simplify right side
    431.70x = 184,348.27
  5. Step 5: Solve for x
    x = 184,348.27/431.70
  6. Step 6: Final answer
    x = 427.03

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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.