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Finding the Fourth Proportional to 405.24, 559.27 and 228.23

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Solution

The fourth proportional to 405.24, 559.27 and 228.23 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.24 : 559.27 = 228.23 : x
  2. Step 2: Convert to fraction form
    405.24/559.27 = 228.23/x
  3. Step 3: Cross multiply
    405.24x = 559.27 × 228.23
  4. Step 4: Simplify right side
    405.24x = 127,642.19
  5. Step 5: Solve for x
    x = 127,642.19/405.24
  6. Step 6: Final answer
    x = 314.98

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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.