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Finding the Fourth Proportional to 405.34, 559.29 and 228.29

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Solution

The fourth proportional to 405.34, 559.29 and 228.29 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 559.29 = 228.29 : x
  2. Step 2: Convert to fraction form
    405.34/559.29 = 228.29/x
  3. Step 3: Cross multiply
    405.34x = 559.29 × 228.29
  4. Step 4: Simplify right side
    405.34x = 127,677.52
  5. Step 5: Solve for x
    x = 127,677.52/405.34
  6. Step 6: Final answer
    x = 314.99

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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.