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Finding the Fourth Proportional to 431.98, 647.85 and 188.45

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Solution

The fourth proportional to 431.98, 647.85 and 188.45 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 647.85 = 188.45 : x
  2. Step 2: Convert to fraction form
    431.98/647.85 = 188.45/x
  3. Step 3: Cross multiply
    431.98x = 647.85 × 188.45
  4. Step 4: Simplify right side
    431.98x = 122,084.09
  5. Step 5: Solve for x
    x = 122,084.09/431.98
  6. Step 6: Final answer
    x = 282.62

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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.