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Finding the Fourth Proportional to 456.42, 684.08 and 209.58

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Solution

The fourth proportional to 456.42, 684.08 and 209.58 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 684.08 = 209.58 : x
  2. Step 2: Convert to fraction form
    456.42/684.08 = 209.58/x
  3. Step 3: Cross multiply
    456.42x = 684.08 × 209.58
  4. Step 4: Simplify right side
    456.42x = 143,369.49
  5. Step 5: Solve for x
    x = 143,369.49/456.42
  6. Step 6: Final answer
    x = 314.12

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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.