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Finding the Fourth Proportional to 473.64, 653.23 and 363.37

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Solution

The fourth proportional to 473.64, 653.23 and 363.37 is: 501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 653.23 = 363.37 : x
  2. Step 2: Convert to fraction form
    473.64/653.23 = 363.37/x
  3. Step 3: Cross multiply
    473.64x = 653.23 × 363.37
  4. Step 4: Simplify right side
    473.64x = 237,364.19
  5. Step 5: Solve for x
    x = 237,364.19/473.64
  6. Step 6: Final answer
    x = 501.15

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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.