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Finding the Fourth Proportional to 405.27, 559.29 and 228.30

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Solution

The fourth proportional to 405.27, 559.29 and 228.30 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 559.29 = 228.30 : x
  2. Step 2: Convert to fraction form
    405.27/559.29 = 228.30/x
  3. Step 3: Cross multiply
    405.27x = 559.29 × 228.30
  4. Step 4: Simplify right side
    405.27x = 127,688.29
  5. Step 5: Solve for x
    x = 127,688.29/405.27
  6. Step 6: Final answer
    x = 315.07

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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.