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Finding the Fourth Proportional to 456.78, 684 and 302.22

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Solution

The fourth proportional to 456.78, 684 and 302.22 is: 452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 684 = 302.22 : x
  2. Step 2: Convert to fraction form
    456.78/684 = 302.22/x
  3. Step 3: Cross multiply
    456.78x = 684 × 302.22
  4. Step 4: Simplify right side
    456.78x = 206,718.48
  5. Step 5: Solve for x
    x = 206,718.48/456.78
  6. Step 6: Final answer
    x = 452.56

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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.