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Finding the Fourth Proportional to 316.23, 473.42 and 285.85

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Solution

The fourth proportional to 316.23, 473.42 and 285.85 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.23 : 473.42 = 285.85 : x
  2. Step 2: Convert to fraction form
    316.23/473.42 = 285.85/x
  3. Step 3: Cross multiply
    316.23x = 473.42 × 285.85
  4. Step 4: Simplify right side
    316.23x = 135,327.11
  5. Step 5: Solve for x
    x = 135,327.11/316.23
  6. Step 6: Final answer
    x = 427.94

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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.