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Finding the Fourth Proportional to 417.05, 574.30 and 357.60

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Solution

The fourth proportional to 417.05, 574.30 and 357.60 is: 492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.05 : 574.30 = 357.60 : x
  2. Step 2: Convert to fraction form
    417.05/574.30 = 357.60/x
  3. Step 3: Cross multiply
    417.05x = 574.30 × 357.60
  4. Step 4: Simplify right side
    417.05x = 205,369.68
  5. Step 5: Solve for x
    x = 205,369.68/417.05
  6. Step 6: Final answer
    x = 492.43

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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.