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Finding the Fourth Proportional to 456.06, 684.41 and 209.30

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Solution

The fourth proportional to 456.06, 684.41 and 209.30 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.06 : 684.41 = 209.30 : x
  2. Step 2: Convert to fraction form
    456.06/684.41 = 209.30/x
  3. Step 3: Cross multiply
    456.06x = 684.41 × 209.30
  4. Step 4: Simplify right side
    456.06x = 143,247.01
  5. Step 5: Solve for x
    x = 143,247.01/456.06
  6. Step 6: Final answer
    x = 314.10

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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.