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Finding the Fourth Proportional to 468.05, 701.61 and 208.19

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Solution

The fourth proportional to 468.05, 701.61 and 208.19 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 701.61 = 208.19 : x
  2. Step 2: Convert to fraction form
    468.05/701.61 = 208.19/x
  3. Step 3: Cross multiply
    468.05x = 701.61 × 208.19
  4. Step 4: Simplify right side
    468.05x = 146,068.19
  5. Step 5: Solve for x
    x = 146,068.19/468.05
  6. Step 6: Final answer
    x = 312.08

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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.