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Finding the Fourth Proportional to 475.39, 654.96 and 357.17

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Solution

The fourth proportional to 475.39, 654.96 and 357.17 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.39 : 654.96 = 357.17 : x
  2. Step 2: Convert to fraction form
    475.39/654.96 = 357.17/x
  3. Step 3: Cross multiply
    475.39x = 654.96 × 357.17
  4. Step 4: Simplify right side
    475.39x = 233,932.06
  5. Step 5: Solve for x
    x = 233,932.06/475.39
  6. Step 6: Final answer
    x = 492.08

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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.