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Finding the Fourth Proportional to 417.08, 625.62 and 355.84

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Solution

The fourth proportional to 417.08, 625.62 and 355.84 is: 533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.08 : 625.62 = 355.84 : x
  2. Step 2: Convert to fraction form
    417.08/625.62 = 355.84/x
  3. Step 3: Cross multiply
    417.08x = 625.62 × 355.84
  4. Step 4: Simplify right side
    417.08x = 222,620.62
  5. Step 5: Solve for x
    x = 222,620.62/417.08
  6. Step 6: Final answer
    x = 533.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.