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Finding the Fourth Proportional to 417.45, 574.78 and 357.99

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Solution

The fourth proportional to 417.45, 574.78 and 357.99 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.45 : 574.78 = 357.99 : x
  2. Step 2: Convert to fraction form
    417.45/574.78 = 357.99/x
  3. Step 3: Cross multiply
    417.45x = 574.78 × 357.99
  4. Step 4: Simplify right side
    417.45x = 205,765.49
  5. Step 5: Solve for x
    x = 205,765.49/417.45
  6. Step 6: Final answer
    x = 492.91

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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.