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Finding the Fourth Proportional to 332.04, 496.84 and 209.32

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Solution

The fourth proportional to 332.04, 496.84 and 209.32 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.04 : 496.84 = 209.32 : x
  2. Step 2: Convert to fraction form
    332.04/496.84 = 209.32/x
  3. Step 3: Cross multiply
    332.04x = 496.84 × 209.32
  4. Step 4: Simplify right side
    332.04x = 103,998.55
  5. Step 5: Solve for x
    x = 103,998.55/332.04
  6. Step 6: Final answer
    x = 313.21

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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.