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Finding the Fourth Proportional to 487.45, 731.85 and 465.40

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Solution

The fourth proportional to 487.45, 731.85 and 465.40 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.45 : 731.85 = 465.40 : x
  2. Step 2: Convert to fraction form
    487.45/731.85 = 465.40/x
  3. Step 3: Cross multiply
    487.45x = 731.85 × 465.40
  4. Step 4: Simplify right side
    487.45x = 340,604.78
  5. Step 5: Solve for x
    x = 340,604.78/487.45
  6. Step 6: Final answer
    x = 698.75

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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.