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Finding the Fourth Proportional to 455.62, 680.07 and 423.52

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Solution

The fourth proportional to 455.62, 680.07 and 423.52 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.62 : 680.07 = 423.52 : x
  2. Step 2: Convert to fraction form
    455.62/680.07 = 423.52/x
  3. Step 3: Cross multiply
    455.62x = 680.07 × 423.52
  4. Step 4: Simplify right side
    455.62x = 288,023.25
  5. Step 5: Solve for x
    x = 288,023.25/455.62
  6. Step 6: Final answer
    x = 632.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.