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Finding the Fourth Proportional to 456.53, 684.10 and 212.99

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Solution

The fourth proportional to 456.53, 684.10 and 212.99 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.53 : 684.10 = 212.99 : x
  2. Step 2: Convert to fraction form
    456.53/684.10 = 212.99/x
  3. Step 3: Cross multiply
    456.53x = 684.10 × 212.99
  4. Step 4: Simplify right side
    456.53x = 145,706.46
  5. Step 5: Solve for x
    x = 145,706.46/456.53
  6. Step 6: Final answer
    x = 319.16

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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.