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Finding the Fourth Proportional to 405.77, 559.98 and 228.81

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Solution

The fourth proportional to 405.77, 559.98 and 228.81 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.77 : 559.98 = 228.81 : x
  2. Step 2: Convert to fraction form
    405.77/559.98 = 228.81/x
  3. Step 3: Cross multiply
    405.77x = 559.98 × 228.81
  4. Step 4: Simplify right side
    405.77x = 128,126.22
  5. Step 5: Solve for x
    x = 128,126.22/405.77
  6. Step 6: Final answer
    x = 315.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.