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Finding the Fourth Proportional to 473.84, 653.48 and 363.12

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Solution

The fourth proportional to 473.84, 653.48 and 363.12 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 653.48 = 363.12 : x
  2. Step 2: Convert to fraction form
    473.84/653.48 = 363.12/x
  3. Step 3: Cross multiply
    473.84x = 653.48 × 363.12
  4. Step 4: Simplify right side
    473.84x = 237,291.66
  5. Step 5: Solve for x
    x = 237,291.66/473.84
  6. Step 6: Final answer
    x = 500.78

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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.