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Finding the Fourth Proportional to 456.42, 684.33 and 225.12

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Solution

The fourth proportional to 456.42, 684.33 and 225.12 is: 337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 684.33 = 225.12 : x
  2. Step 2: Convert to fraction form
    456.42/684.33 = 225.12/x
  3. Step 3: Cross multiply
    456.42x = 684.33 × 225.12
  4. Step 4: Simplify right side
    456.42x = 154,056.37
  5. Step 5: Solve for x
    x = 154,056.37/456.42
  6. Step 6: Final answer
    x = 337.53

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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.