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Finding the Fourth Proportional to 472.46, 653.06 and 362.43

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Solution

The fourth proportional to 472.46, 653.06 and 362.43 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.46 : 653.06 = 362.43 : x
  2. Step 2: Convert to fraction form
    472.46/653.06 = 362.43/x
  3. Step 3: Cross multiply
    472.46x = 653.06 × 362.43
  4. Step 4: Simplify right side
    472.46x = 236,689.44
  5. Step 5: Solve for x
    x = 236,689.44/472.46
  6. Step 6: Final answer
    x = 500.98

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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.