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Finding the Fourth Proportional to 472.84, 652.30 and 325.68

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Solution

The fourth proportional to 472.84, 652.30 and 325.68 is: 449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 652.30 = 325.68 : x
  2. Step 2: Convert to fraction form
    472.84/652.30 = 325.68/x
  3. Step 3: Cross multiply
    472.84x = 652.30 × 325.68
  4. Step 4: Simplify right side
    472.84x = 212,441.06
  5. Step 5: Solve for x
    x = 212,441.06/472.84
  6. Step 6: Final answer
    x = 449.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.