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Finding the Fourth Proportional to 477.89, 717.02 and 325.26

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Solution

The fourth proportional to 477.89, 717.02 and 325.26 is: 488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.89 : 717.02 = 325.26 : x
  2. Step 2: Convert to fraction form
    477.89/717.02 = 325.26/x
  3. Step 3: Cross multiply
    477.89x = 717.02 × 325.26
  4. Step 4: Simplify right side
    477.89x = 233,217.03
  5. Step 5: Solve for x
    x = 233,217.03/477.89
  6. Step 6: Final answer
    x = 488.01

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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.