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Finding the Fourth Proportional to 431.77, 646.38 and 285.25

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Solution

The fourth proportional to 431.77, 646.38 and 285.25 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 646.38 = 285.25 : x
  2. Step 2: Convert to fraction form
    431.77/646.38 = 285.25/x
  3. Step 3: Cross multiply
    431.77x = 646.38 × 285.25
  4. Step 4: Simplify right side
    431.77x = 184,378.28
  5. Step 5: Solve for x
    x = 184,378.28/431.77
  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.