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Finding the Fourth Proportional to 473.77, 653.16 and 354.03

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Solution

The fourth proportional to 473.77, 653.16 and 354.03 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.77 : 653.16 = 354.03 : x
  2. Step 2: Convert to fraction form
    473.77/653.16 = 354.03/x
  3. Step 3: Cross multiply
    473.77x = 653.16 × 354.03
  4. Step 4: Simplify right side
    473.77x = 231,234.97
  5. Step 5: Solve for x
    x = 231,234.97/473.77
  6. Step 6: Final answer
    x = 488.07

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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.