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Finding the Fourth Proportional to 473.06, 653.13 and 363.11

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Solution

The fourth proportional to 473.06, 653.13 and 363.11 is: 501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 653.13 = 363.11 : x
  2. Step 2: Convert to fraction form
    473.06/653.13 = 363.11/x
  3. Step 3: Cross multiply
    473.06x = 653.13 × 363.11
  4. Step 4: Simplify right side
    473.06x = 237,154.77
  5. Step 5: Solve for x
    x = 237,154.77/473.06
  6. Step 6: Final answer
    x = 501.33

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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.