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Finding the Fourth Proportional to 472.84, 652.98 and 396.04

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Solution

The fourth proportional to 472.84, 652.98 and 396.04 is: 546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 652.98 = 396.04 : x
  2. Step 2: Convert to fraction form
    472.84/652.98 = 396.04/x
  3. Step 3: Cross multiply
    472.84x = 652.98 × 396.04
  4. Step 4: Simplify right side
    472.84x = 258,606.20
  5. Step 5: Solve for x
    x = 258,606.20/472.84
  6. Step 6: Final answer
    x = 546.92

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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.