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Finding the Fourth Proportional to 456.57, 684.27 and 209.52

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Solution

The fourth proportional to 456.57, 684.27 and 209.52 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 684.27 = 209.52 : x
  2. Step 2: Convert to fraction form
    456.57/684.27 = 209.52/x
  3. Step 3: Cross multiply
    456.57x = 684.27 × 209.52
  4. Step 4: Simplify right side
    456.57x = 143,368.25
  5. Step 5: Solve for x
    x = 143,368.25/456.57
  6. Step 6: Final answer
    x = 314.01

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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.