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Finding the Fourth Proportional to 417.47, 625.39 and 383.04

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Solution

The fourth proportional to 417.47, 625.39 and 383.04 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 625.39 = 383.04 : x
  2. Step 2: Convert to fraction form
    417.47/625.39 = 383.04/x
  3. Step 3: Cross multiply
    417.47x = 625.39 × 383.04
  4. Step 4: Simplify right side
    417.47x = 239,548.43
  5. Step 5: Solve for x
    x = 239,548.43/417.47
  6. Step 6: Final answer
    x = 573.82

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