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Finding the Fourth Proportional to 456.72, 684 and 240

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Solution

The fourth proportional to 456.72, 684 and 240 is: 359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 684 = 240 : x
  2. Step 2: Convert to fraction form
    456.72/684 = 240/x
  3. Step 3: Cross multiply
    456.72x = 684 × 240
  4. Step 4: Simplify right side
    456.72x = 164,160
  5. Step 5: Solve for x
    x = 164,160/456.72
  6. Step 6: Final answer
    x = 359.43

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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.