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Finding the Fourth Proportional to 456.66, 684.27 and 209.58

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Solution

The fourth proportional to 456.66, 684.27 and 209.58 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.66 : 684.27 = 209.58 : x
  2. Step 2: Convert to fraction form
    456.66/684.27 = 209.58/x
  3. Step 3: Cross multiply
    456.66x = 684.27 × 209.58
  4. Step 4: Simplify right side
    456.66x = 143,409.31
  5. Step 5: Solve for x
    x = 143,409.31/456.66
  6. Step 6: Final answer
    x = 314.04

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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.