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Finding the Fourth Proportional to 405.15, 559.16 and 228.14

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Solution

The fourth proportional to 405.15, 559.16 and 228.14 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.15 : 559.16 = 228.14 : x
  2. Step 2: Convert to fraction form
    405.15/559.16 = 228.14/x
  3. Step 3: Cross multiply
    405.15x = 559.16 × 228.14
  4. Step 4: Simplify right side
    405.15x = 127,562.83
  5. Step 5: Solve for x
    x = 127,562.83/405.15
  6. Step 6: Final answer
    x = 314.85

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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.