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Finding the Fourth Proportional to 309.98, 465.02 and 241.64

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Solution

The fourth proportional to 309.98, 465.02 and 241.64 is: 362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 465.02 = 241.64 : x
  2. Step 2: Convert to fraction form
    309.98/465.02 = 241.64/x
  3. Step 3: Cross multiply
    309.98x = 465.02 × 241.64
  4. Step 4: Simplify right side
    309.98x = 112,365.71
  5. Step 5: Solve for x
    x = 112,365.71/309.98
  6. Step 6: Final answer
    x = 362.49

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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.