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Finding the Fourth Proportional to 403.92, 556.92 and 357.48

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Solution

The fourth proportional to 403.92, 556.92 and 357.48 is: 492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 556.92 = 357.48 : x
  2. Step 2: Convert to fraction form
    403.92/556.92 = 357.48/x
  3. Step 3: Cross multiply
    403.92x = 556.92 × 357.48
  4. Step 4: Simplify right side
    403.92x = 199,087.76
  5. Step 5: Solve for x
    x = 199,087.76/403.92
  6. Step 6: Final answer
    x = 492.89

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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.