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Finding the Fourth Proportional to 405.12, 607.71 and 243.82

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Solution

The fourth proportional to 405.12, 607.71 and 243.82 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 607.71 = 243.82 : x
  2. Step 2: Convert to fraction form
    405.12/607.71 = 243.82/x
  3. Step 3: Cross multiply
    405.12x = 607.71 × 243.82
  4. Step 4: Simplify right side
    405.12x = 148,174.55
  5. Step 5: Solve for x
    x = 148,174.55/405.12
  6. Step 6: Final answer
    x = 365.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.