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Finding the Fourth Proportional to 487.87, 732.88 and 423.07

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Solution

The fourth proportional to 487.87, 732.88 and 423.07 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.87 : 732.88 = 423.07 : x
  2. Step 2: Convert to fraction form
    487.87/732.88 = 423.07/x
  3. Step 3: Cross multiply
    487.87x = 732.88 × 423.07
  4. Step 4: Simplify right side
    487.87x = 310,059.54
  5. Step 5: Solve for x
    x = 310,059.54/487.87
  6. Step 6: Final answer
    x = 635.54

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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.