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Finding the Fourth Proportional to 421.49, 581.95 and 316.81

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Solution

The fourth proportional to 421.49, 581.95 and 316.81 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 581.95 = 316.81 : x
  2. Step 2: Convert to fraction form
    421.49/581.95 = 316.81/x
  3. Step 3: Cross multiply
    421.49x = 581.95 × 316.81
  4. Step 4: Simplify right side
    421.49x = 184,367.37
  5. Step 5: Solve for x
    x = 184,367.37/421.49
  6. Step 6: Final answer
    x = 437.42

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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.