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Finding the Fourth Proportional to 310.77, 465.64 and 219.02

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Solution

The fourth proportional to 310.77, 465.64 and 219.02 is: 328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.77 : 465.64 = 219.02 : x
  2. Step 2: Convert to fraction form
    310.77/465.64 = 219.02/x
  3. Step 3: Cross multiply
    310.77x = 465.64 × 219.02
  4. Step 4: Simplify right side
    310.77x = 101,984.47
  5. Step 5: Solve for x
    x = 101,984.47/310.77
  6. Step 6: Final answer
    x = 328.17

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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.