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Finding the Fourth Proportional to 405.16, 559.37 and 311.72

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Solution

The fourth proportional to 405.16, 559.37 and 311.72 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.16 : 559.37 = 311.72 : x
  2. Step 2: Convert to fraction form
    405.16/559.37 = 311.72/x
  3. Step 3: Cross multiply
    405.16x = 559.37 × 311.72
  4. Step 4: Simplify right side
    405.16x = 174,366.82
  5. Step 5: Solve for x
    x = 174,366.82/405.16
  6. Step 6: Final answer
    x = 430.37

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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.