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Finding the Fourth Proportional to 431.72, 596.05 and 284.60

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Solution

The fourth proportional to 431.72, 596.05 and 284.60 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 596.05 = 284.60 : x
  2. Step 2: Convert to fraction form
    431.72/596.05 = 284.60/x
  3. Step 3: Cross multiply
    431.72x = 596.05 × 284.60
  4. Step 4: Simplify right side
    431.72x = 169,636.61
  5. Step 5: Solve for x
    x = 169,636.61/431.72
  6. Step 6: Final answer
    x = 392.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.