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Finding the Fourth Proportional to 431.46, 595.44 and 291.60

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Solution

The fourth proportional to 431.46, 595.44 and 291.60 is: 402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 595.44 = 291.60 : x
  2. Step 2: Convert to fraction form
    431.46/595.44 = 291.60/x
  3. Step 3: Cross multiply
    431.46x = 595.44 × 291.60
  4. Step 4: Simplify right side
    431.46x = 173,630.30
  5. Step 5: Solve for x
    x = 173,630.30/431.46
  6. Step 6: Final answer
    x = 402.43

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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.