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Finding the Fourth Proportional to 473.56, 653.15 and 362.76

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Solution

The fourth proportional to 473.56, 653.15 and 362.76 is: 500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 653.15 = 362.76 : x
  2. Step 2: Convert to fraction form
    473.56/653.15 = 362.76/x
  3. Step 3: Cross multiply
    473.56x = 653.15 × 362.76
  4. Step 4: Simplify right side
    473.56x = 236,936.69
  5. Step 5: Solve for x
    x = 236,936.69/473.56
  6. Step 6: Final answer
    x = 500.33

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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.