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Finding the Fourth Proportional to 420.97, 581.78 and 316.42

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Solution

The fourth proportional to 420.97, 581.78 and 316.42 is: 437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.97 : 581.78 = 316.42 : x
  2. Step 2: Convert to fraction form
    420.97/581.78 = 316.42/x
  3. Step 3: Cross multiply
    420.97x = 581.78 × 316.42
  4. Step 4: Simplify right side
    420.97x = 184,086.83
  5. Step 5: Solve for x
    x = 184,086.83/420.97
  6. Step 6: Final answer
    x = 437.29

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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.