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Finding the Fourth Proportional to 456.52, 684.04 and 440.68

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Solution

The fourth proportional to 456.52, 684.04 and 440.68 is: 660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.04 = 440.68 : x
  2. Step 2: Convert to fraction form
    456.52/684.04 = 440.68/x
  3. Step 3: Cross multiply
    456.52x = 684.04 × 440.68
  4. Step 4: Simplify right side
    456.52x = 301,442.75
  5. Step 5: Solve for x
    x = 301,442.75/456.52
  6. Step 6: Final answer
    x = 660.31

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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.