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Finding the Fourth Proportional to 473.12, 654.12 and 362.42

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Solution

The fourth proportional to 473.12, 654.12 and 362.42 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.12 : 654.12 = 362.42 : x
  2. Step 2: Convert to fraction form
    473.12/654.12 = 362.42/x
  3. Step 3: Cross multiply
    473.12x = 654.12 × 362.42
  4. Step 4: Simplify right side
    473.12x = 237,066.17
  5. Step 5: Solve for x
    x = 237,066.17/473.12
  6. Step 6: Final answer
    x = 501.07

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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.