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Finding the Fourth Proportional to 405.53, 559.57 and 228.46

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Solution

The fourth proportional to 405.53, 559.57 and 228.46 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.53 : 559.57 = 228.46 : x
  2. Step 2: Convert to fraction form
    405.53/559.57 = 228.46/x
  3. Step 3: Cross multiply
    405.53x = 559.57 × 228.46
  4. Step 4: Simplify right side
    405.53x = 127,839.36
  5. Step 5: Solve for x
    x = 127,839.36/405.53
  6. Step 6: Final answer
    x = 315.24

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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.