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Finding the Fourth Proportional to 456.58, 684.84 and 213.16

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Solution

The fourth proportional to 456.58, 684.84 and 213.16 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.58 : 684.84 = 213.16 : x
  2. Step 2: Convert to fraction form
    456.58/684.84 = 213.16/x
  3. Step 3: Cross multiply
    456.58x = 684.84 × 213.16
  4. Step 4: Simplify right side
    456.58x = 145,980.49
  5. Step 5: Solve for x
    x = 145,980.49/456.58
  6. Step 6: Final answer
    x = 319.73

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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.