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Finding the Fourth Proportional to 310.79, 465.84 and 208.32

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Solution

The fourth proportional to 310.79, 465.84 and 208.32 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.79 : 465.84 = 208.32 : x
  2. Step 2: Convert to fraction form
    310.79/465.84 = 208.32/x
  3. Step 3: Cross multiply
    310.79x = 465.84 × 208.32
  4. Step 4: Simplify right side
    310.79x = 97,043.79
  5. Step 5: Solve for x
    x = 97,043.79/310.79
  6. Step 6: Final answer
    x = 312.25

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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.