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Finding the Fourth Proportional to 417.20, 624.90 and 371.60

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Solution

The fourth proportional to 417.20, 624.90 and 371.60 is: 556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 624.90 = 371.60 : x
  2. Step 2: Convert to fraction form
    417.20/624.90 = 371.60/x
  3. Step 3: Cross multiply
    417.20x = 624.90 × 371.60
  4. Step 4: Simplify right side
    417.20x = 232,212.84
  5. Step 5: Solve for x
    x = 232,212.84/417.20
  6. Step 6: Final answer
    x = 556.60

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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.