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Finding the Fourth Proportional to 316.58, 474.67 and 208.04

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Solution

The fourth proportional to 316.58, 474.67 and 208.04 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.58 : 474.67 = 208.04 : x
  2. Step 2: Convert to fraction form
    316.58/474.67 = 208.04/x
  3. Step 3: Cross multiply
    316.58x = 474.67 × 208.04
  4. Step 4: Simplify right side
    316.58x = 98,749.31
  5. Step 5: Solve for x
    x = 98,749.31/316.58
  6. Step 6: Final answer
    x = 311.93

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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.