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Finding the Fourth Proportional to 405.40, 559.51 and 228.38

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Solution

The fourth proportional to 405.40, 559.51 and 228.38 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.40 : 559.51 = 228.38 : x
  2. Step 2: Convert to fraction form
    405.40/559.51 = 228.38/x
  3. Step 3: Cross multiply
    405.40x = 559.51 × 228.38
  4. Step 4: Simplify right side
    405.40x = 127,780.07
  5. Step 5: Solve for x
    x = 127,780.07/405.40
  6. Step 6: Final answer
    x = 315.19

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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.