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Finding the Fourth Proportional to 579.35, 867.48 and 464.03

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Solution

The fourth proportional to 579.35, 867.48 and 464.03 is: 694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.35 : 867.48 = 464.03 : x
  2. Step 2: Convert to fraction form
    579.35/867.48 = 464.03/x
  3. Step 3: Cross multiply
    579.35x = 867.48 × 464.03
  4. Step 4: Simplify right side
    579.35x = 402,532.41
  5. Step 5: Solve for x
    x = 402,532.41/579.35
  6. Step 6: Final answer
    x = 694.81

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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.