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Finding the Fourth Proportional to 405.74, 559.83 and 228.72

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Solution

The fourth proportional to 405.74, 559.83 and 228.72 is: 315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.74 : 559.83 = 228.72 : x
  2. Step 2: Convert to fraction form
    405.74/559.83 = 228.72/x
  3. Step 3: Cross multiply
    405.74x = 559.83 × 228.72
  4. Step 4: Simplify right side
    405.74x = 128,041.26
  5. Step 5: Solve for x
    x = 128,041.26/405.74
  6. Step 6: Final answer
    x = 315.57

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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.