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Finding the Fourth Proportional to 405.10, 558.96 and 230.42

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Solution

The fourth proportional to 405.10, 558.96 and 230.42 is: 317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 558.96 = 230.42 : x
  2. Step 2: Convert to fraction form
    405.10/558.96 = 230.42/x
  3. Step 3: Cross multiply
    405.10x = 558.96 × 230.42
  4. Step 4: Simplify right side
    405.10x = 128,795.56
  5. Step 5: Solve for x
    x = 128,795.56/405.10
  6. Step 6: Final answer
    x = 317.94

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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.