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Finding the Fourth Proportional to 473.84, 711.27 and 325.61

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Solution

The fourth proportional to 473.84, 711.27 and 325.61 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 711.27 = 325.61 : x
  2. Step 2: Convert to fraction form
    473.84/711.27 = 325.61/x
  3. Step 3: Cross multiply
    473.84x = 711.27 × 325.61
  4. Step 4: Simplify right side
    473.84x = 231,593.07
  5. Step 5: Solve for x
    x = 231,593.07/473.84
  6. Step 6: Final answer
    x = 488.76

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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.