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Finding the Fourth Proportional to 325.66, 488.16 and 209.74

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Solution

The fourth proportional to 325.66, 488.16 and 209.74 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.66 : 488.16 = 209.74 : x
  2. Step 2: Convert to fraction form
    325.66/488.16 = 209.74/x
  3. Step 3: Cross multiply
    325.66x = 488.16 × 209.74
  4. Step 4: Simplify right side
    325.66x = 102,386.68
  5. Step 5: Solve for x
    x = 102,386.68/325.66
  6. Step 6: Final answer
    x = 314.40

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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.